Celik, Esra; Tunc, Huseyin; Sari, Murat An efficient multi-derivative numerical method for chemical boundary value problems. (English) Zbl 07812878 J. Math. Chem. 62, No. 3, 634-653 (2024). MSC: 65L09 34B05 92E99 PDFBibTeX XMLCite \textit{E. Celik} et al., J. Math. Chem. 62, No. 3, 634--653 (2024; Zbl 07812878) Full Text: DOI
Qureshi, M. I.; Bhat, Aarif Hussain; Majid, Javid Hypergeometric form of \((1+x^2) \frac{ib}{2} \exp (b \tan^{-1} x)\) and its applications. (English) Zbl 07789249 Jñānābha 53, No. 1, 87-91 (2023). MSC: 33C05 34A35 41A58 33B10 PDFBibTeX XMLCite \textit{M. I. Qureshi} et al., Jñānābha 53, No. 1, 87--91 (2023; Zbl 07789249) Full Text: DOI
Tariq, Momna; ur Rehman, Mujeeb; Saeed, Umer A generalized Taylor operational matrix method for \(\psi\)-fractional differential equations. (English) Zbl 07781824 Math. Methods Appl. Sci. 46, No. 4, 4705-4727 (2023). MSC: 34A08 35R11 PDFBibTeX XMLCite \textit{M. Tariq} et al., Math. Methods Appl. Sci. 46, No. 4, 4705--4727 (2023; Zbl 07781824) Full Text: DOI
Georgiev, Svetlin G.; Erhan, İnci M. The Taylor series method of order \(p\) and Adams-Bashforth method on time scales. (English) Zbl 1527.34137 Math. Methods Appl. Sci. 46, No. 1, 304-320 (2023). MSC: 34N05 39A10 65L05 PDFBibTeX XMLCite \textit{S. G. Georgiev} and \textit{İ. M. Erhan}, Math. Methods Appl. Sci. 46, No. 1, 304--320 (2023; Zbl 1527.34137) Full Text: DOI
Georgiev, Svetlin G.; Erhan, İnci M. Series solution method on time scales and its applications. (English) Zbl 07770370 Georgiev, Svetlin G. (ed.), Dynamic calculus and equations on time scales. Berlin: De Gruyter. 239-257 (2023). MSC: 34N05 34A25 41A58 45D05 PDFBibTeX XMLCite \textit{S. G. Georgiev} and \textit{İ. M. Erhan}, in: Dynamic calculus and equations on time scales. Berlin: De Gruyter. 239--257 (2023; Zbl 07770370) Full Text: DOI
Carmona, Victoriano; Fernández-Sánchez, Fernando; Garcia-Medina, Elisabeth; Novaes, Douglas Properties of Poincaré half-maps for planar linear systems and some direct applications to periodic orbits of piecewise systems. (English) Zbl 07742356 Electron. J. Qual. Theory Differ. Equ. 2023, Paper No. 22, 18 p. (2023). MSC: 34A25 34A26 34A36 34C05 PDFBibTeX XMLCite \textit{V. Carmona} et al., Electron. J. Qual. Theory Differ. Equ. 2023, Paper No. 22, 18 p. (2023; Zbl 07742356) Full Text: DOI arXiv
Borri, Alessandro; Carravetta, Francesco; Palumbo, Pasquale Quadratized Taylor series methods for ODE numerical integration. (English) Zbl 07736280 Appl. Math. Comput. 458, Article ID 128237, 18 p. (2023). MSC: 65Lxx 34Axx 65Dxx PDFBibTeX XMLCite \textit{A. Borri} et al., Appl. Math. Comput. 458, Article ID 128237, 18 p. (2023; Zbl 07736280) Full Text: DOI
Sherman, Michelle; Kerr, Gilbert; González-Parra, Gilberto Analytical solutions of linear delay-differential equations with Dirac delta function inputs using the Laplace transform. (English) Zbl 07735384 Comput. Appl. Math. 42, No. 6, Paper No. 268, 14 p. (2023). MSC: 34K05 34K06 34K07 34K25 41A58 44A10 PDFBibTeX XMLCite \textit{M. Sherman} et al., Comput. Appl. Math. 42, No. 6, Paper No. 268, 14 p. (2023; Zbl 07735384) Full Text: DOI
Vatolkin, M. Yu. On the spectrum of a quasi-differential boundary value problem of the second-order. (English. Russian original) Zbl 1521.34023 Russ. Math. 67, No. 1, 1-19 (2023); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 1, 3-24 (2023). MSC: 34B09 34A08 34L05 34L10 34L15 PDFBibTeX XMLCite \textit{M. Yu. Vatolkin}, Russ. Math. 67, No. 1, 1--19 (2023; Zbl 1521.34023); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 1, 3--24 (2023) Full Text: DOI
Breden, Maxime A posteriori validation of generalized polynomial chaos expansions. (English) Zbl 07712414 SIAM J. Appl. Dyn. Syst. 22, No. 2, 765-801 (2023). MSC: 37M21 34F05 42C05 41A58 60H35 65P20 65P30 PDFBibTeX XMLCite \textit{M. Breden}, SIAM J. Appl. Dyn. Syst. 22, No. 2, 765--801 (2023; Zbl 07712414) Full Text: DOI arXiv
Bonelli, Giulio; Iossa, Cristoforo; Lichtig, Daniel Panea; Tanzini, Alessandro Irregular Liouville correlators and connection formulae for Heun functions. (English) Zbl 1522.81459 Commun. Math. Phys. 397, No. 2, 635-727 (2023). MSC: 81T40 62H20 81R10 17B68 14B05 81Q20 34M40 41A58 PDFBibTeX XMLCite \textit{G. Bonelli} et al., Commun. Math. Phys. 397, No. 2, 635--727 (2023; Zbl 1522.81459) Full Text: DOI arXiv
Beauchard, Karine; Le Borgne, Jérémy; Marbach, Frédéric On expansions for nonlinear systems error estimates and convergence issues. (English) Zbl 1516.34026 C. R., Math., Acad. Sci. Paris 361, 97-189 (2023). MSC: 34A25 41A58 37C60 34C20 PDFBibTeX XMLCite \textit{K. Beauchard} et al., C. R., Math., Acad. Sci. Paris 361, 97--189 (2023; Zbl 1516.34026) Full Text: DOI arXiv
Liao, Shijun Avoiding small denominator problems by means of the homotopy analysis method. (English) Zbl 1524.65301 Adv. Appl. Math. Mech. 15, No. 2, 267-299 (2023). MSC: 65L99 34A25 34C25 41A58 PDFBibTeX XMLCite \textit{S. Liao}, Adv. Appl. Math. Mech. 15, No. 2, 267--299 (2023; Zbl 1524.65301) Full Text: DOI arXiv
Singh, Brajesh Kumar; Agrawal, Saloni Study of time fractional proportional delayed multi-pantograph system and integro-differential equations. (English) Zbl 07775991 Math. Methods Appl. Sci. 45, No. 13, 8305-8328 (2022). MSC: 65M99 41A58 34A08 35R09 35R07 35A02 26A33 35R11 35R07 47N20 PDFBibTeX XMLCite \textit{B. K. Singh} and \textit{S. Agrawal}, Math. Methods Appl. Sci. 45, No. 13, 8305--8328 (2022; Zbl 07775991) Full Text: DOI
Al-Qudah, Alaa; Odibat, Zaid; Shawagfeh, Nabil An optimal homotopy analysis transform method for handling nonlinear PDEs. (English) Zbl 1505.65282 Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 260, 19 p. (2022). MSC: 65M99 44A10 41A58 65M12 34A34 35Q53 PDFBibTeX XMLCite \textit{A. Al-Qudah} et al., Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 260, 19 p. (2022; Zbl 1505.65282) Full Text: DOI
Borisov, D. I.; Gazizova, L. I. Taylor series for resolvents of operators on graphs with small edges. (English. Russian original) Zbl 1505.35343 Proc. Steklov Inst. Math. 317, Suppl. 1, S37-S54 (2022); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 28, No. 1, 40-57 (2022). MSC: 35R02 34B05 35C10 35J25 PDFBibTeX XMLCite \textit{D. I. Borisov} and \textit{L. I. Gazizova}, Proc. Steklov Inst. Math. 317, S37--S54 (2022; Zbl 1505.35343); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 28, No. 1, 40--57 (2022) Full Text: DOI
Awonusika, Richard Olu; Ariwayo, Afolabi Gabriel Descriptions of fractional coefficients of Jacobi polynomial expansions. (English) Zbl 1524.33019 J. Anal. 30, No. 4, 1567-1608 (2022). MSC: 33C05 33C45 34A08 35A08 35C05 35C10 35C15 PDFBibTeX XMLCite \textit{R. O. Awonusika} and \textit{A. G. Ariwayo}, J. Anal. 30, No. 4, 1567--1608 (2022; Zbl 1524.33019) Full Text: DOI
Khalouta, Ali A new analytical series solution with convergence for nonlinear fractional Lienard’s equations with Caputo fractional derivative. (English) Zbl 1506.34018 Kyungpook Math. J. 62, No. 3, 583-593 (2022). MSC: 34A08 34B30 34A25 34A45 PDFBibTeX XMLCite \textit{A. Khalouta}, Kyungpook Math. J. 62, No. 3, 583--593 (2022; Zbl 1506.34018) Full Text: DOI
Ismail, Nur Inshirah Naqiah; Majid, Zanariah Abdul; Senu, Norazak Numerical solution for neutral delay differential equation of constant or proportional type using hybrid block method. (English) Zbl 1513.65227 Adv. Appl. Math. Mech. 14, No. 5, 1138-1160 (2022). MSC: 65L06 65L03 65L12 34K40 35R07 41A58 78A55 PDFBibTeX XMLCite \textit{N. I. N. Ismail} et al., Adv. Appl. Math. Mech. 14, No. 5, 1138--1160 (2022; Zbl 1513.65227) Full Text: DOI
El Kaoutit, Laiachi; Saracco, Paolo The Hopf algebroid structure of differentially recursive sequences. (English) Zbl 1508.12005 Quaest. Math. 45, No. 4, 547-593 (2022). Reviewer: Alexander B. Levin (Washington) MSC: 12H05 16S32 16T05 34M15 05A19 03D20 34G10 41A58 PDFBibTeX XMLCite \textit{L. El Kaoutit} and \textit{P. Saracco}, Quaest. Math. 45, No. 4, 547--593 (2022; Zbl 1508.12005) Full Text: DOI arXiv
Fernández, Francisco M. Comment on: “A new approach to solve the Schrödinger equation with an anharmonic sextic potential”. (English) Zbl 1487.81082 J. Math. Chem. 60, No. 2, 261-266 (2022). MSC: 81Q05 26C05 34K21 33C15 41A58 PDFBibTeX XMLCite \textit{F. M. Fernández}, J. Math. Chem. 60, No. 2, 261--266 (2022; Zbl 1487.81082) Full Text: DOI
Doldo, Philip; Pender, Jamol Multidelay differential equations: a Taylor expansion approach. (English) Zbl 1500.34068 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 3, Article ID 2250034, 31 p. (2022). Reviewer: Angela Slavova (Sofia) MSC: 34K40 34K20 90B22 34K18 34K13 41A58 PDFBibTeX XMLCite \textit{P. Doldo} and \textit{J. Pender}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 3, Article ID 2250034, 31 p. (2022; Zbl 1500.34068) Full Text: DOI arXiv
Maurischat, A.; Perkins, R. Taylor coefficients of Anderson generating functions and Drinfeld torsion extensions. (English) Zbl 1498.11163 Int. J. Number Theory 18, No. 1, 113-130 (2022). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11J93 11G09 12F10 11F80 33E50 41A58 34L99 PDFBibTeX XMLCite \textit{A. Maurischat} and \textit{R. Perkins}, Int. J. Number Theory 18, No. 1, 113--130 (2022; Zbl 1498.11163) Full Text: DOI arXiv
Corrigan, Abby; Shertzer, Janine 1D potential wells of the form \(V(|x| < a) = -V_o\left(1-\frac{|x|^n}{a^n}\right)\). (English) Zbl 1523.81066 Eur. J. Phys. 42, No. 3, Article ID 035404, 10 p. (2021). MSC: 81Q05 34L40 57R67 65L60 33C10 35P15 41A58 PDFBibTeX XMLCite \textit{A. Corrigan} and \textit{J. Shertzer}, Eur. J. Phys. 42, No. 3, Article ID 035404, 10 p. (2021; Zbl 1523.81066) Full Text: DOI
Noeiaghdam, Zahra; Rahmani, Morteza; Allahviranloo, Tofigh Introduction of the numerical methods in quantum calculus with uncertainty. (English) Zbl 1501.34002 J. Math. Model. 9, No. 2, 303-322 (2021). MSC: 34A07 34A08 05A30 41A58 65B15 65L05 34A12 PDFBibTeX XMLCite \textit{Z. Noeiaghdam} et al., J. Math. Model. 9, No. 2, 303--322 (2021; Zbl 1501.34002) Full Text: DOI
Elías-Zúñiga, Alex; Palacios-Pineda, Luis Manuel; Jiménez-Cedeño, Isaac H.; Martínez-Romero, Oscar; Olvera Trejo, Daniel Equivalent power-form transformation for fractal Bratu’s equation. (English) Zbl 1510.65153 Fractals 29, No. 1, Article ID 2150019, 8 p. (2021). MSC: 65L10 34C15 28A80 PDFBibTeX XMLCite \textit{A. Elías-Zúñiga} et al., Fractals 29, No. 1, Article ID 2150019, 8 p. (2021; Zbl 1510.65153) Full Text: DOI
Nanni, Luca A new approach to solve the Schrodinger equation with an anharmonic sextic potential. (English) Zbl 1483.81063 J. Math. Chem. 59, No. 10, 2284-2293 (2021). MSC: 81Q05 26C05 34K21 33C15 41A58 PDFBibTeX XMLCite \textit{L. Nanni}, J. Math. Chem. 59, No. 10, 2284--2293 (2021; Zbl 1483.81063) Full Text: DOI
Kammanee, Athassawat Numerical solutions of fractional differential equations with variable coecients by Taylor basis functions. (English) Zbl 1476.65129 Kyungpook Math. J. 61, No. 2, 383-393 (2021). MSC: 65L05 34A08 PDFBibTeX XMLCite \textit{A. Kammanee}, Kyungpook Math. J. 61, No. 2, 383--393 (2021; Zbl 1476.65129) Full Text: DOI
Kuehn, Christian; Lux, Kerstin Uncertainty quantification of bifurcations in random ordinary differential equations. (English) Zbl 1484.34142 SIAM J. Appl. Dyn. Syst. 20, No. 4, 2295-2334 (2021). MSC: 34F10 34C23 60H35 41A58 44A15 34C45 PDFBibTeX XMLCite \textit{C. Kuehn} and \textit{K. Lux}, SIAM J. Appl. Dyn. Syst. 20, No. 4, 2295--2334 (2021; Zbl 1484.34142) Full Text: DOI arXiv
Borisov, D. I. Quantum graphs with small edges: holomorphy of resolvents. (English. Russian original) Zbl 1479.81026 Dokl. Math. 103, No. 3, 113-117 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 498, 21-26 (2021). MSC: 81Q35 47A10 34B45 05C12 41A58 PDFBibTeX XMLCite \textit{D. I. Borisov}, Dokl. Math. 103, No. 3, 113--117 (2021; Zbl 1479.81026); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 498, 21--26 (2021) Full Text: DOI
Estévez Schwarz, Diana; Lamour, René Projected explicit and implicit Taylor series methods for DAEs. (English) Zbl 1487.65109 Numer. Algorithms 88, No. 2, 615-646 (2021). MSC: 65L80 34A09 65K10 PDFBibTeX XMLCite \textit{D. Estévez Schwarz} and \textit{R. Lamour}, Numer. Algorithms 88, No. 2, 615--646 (2021; Zbl 1487.65109) Full Text: DOI
Basu, Rakhee A new formula for investigating delay integro-differential equations using the differential transform method involving a quotient of two functions. (English) Zbl 1477.34090 Rocky Mt. J. Math. 51, No. 2, 413-421 (2021). MSC: 34K07 PDFBibTeX XMLCite \textit{R. Basu}, Rocky Mt. J. Math. 51, No. 2, 413--421 (2021; Zbl 1477.34090)
Khalid, Muhammad; Khan, Fareeha Sami; Sultana, Mariam A highly accurate numerical method for solving nonlinear time-fractional differential difference equation. (English) Zbl 1484.65167 Math. Methods Appl. Sci. 44, No. 10, 8243-8253 (2021). MSC: 65L99 34A08 65Q99 PDFBibTeX XMLCite \textit{M. Khalid} et al., Math. Methods Appl. Sci. 44, No. 10, 8243--8253 (2021; Zbl 1484.65167) Full Text: DOI
Khalouta, Ali; Kadem, Abdelouahab A new reliable method and its convergence for nonlinear second-order fractional differential equations. (English) Zbl 1496.34014 Tbil. Math. J. 13, No. 3, 133-143 (2020). MSC: 34A08 34A45 PDFBibTeX XMLCite \textit{A. Khalouta} and \textit{A. Kadem}, Tbil. Math. J. 13, No. 3, 133--143 (2020; Zbl 1496.34014) Full Text: DOI
Maklakov, Vladimir Nikolaevich; Il’icheva, Mariya Aleksandrovna Numerical integration by the matrix method and evaluation of the approximation order of difference boundary value problems for non-homogeneous linear ordinary differential equations of the fourth order with variable coefficients. (Russian. English summary) Zbl 1474.65232 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 24, No. 1, 137-162 (2020). MSC: 65L10 34A30 34A45 65L12 PDFBibTeX XMLCite \textit{V. N. Maklakov} and \textit{M. A. Il'icheva}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 24, No. 1, 137--162 (2020; Zbl 1474.65232) Full Text: DOI MNR
Ouellet, Mathieu; Tremblay, Sébastien Supersymmetric generalized power functions. (English) Zbl 1454.81098 J. Math. Phys. 61, No. 7, 072101, 19 p. (2020). MSC: 81Q60 81Q05 34L40 34B24 41A58 34A25 PDFBibTeX XMLCite \textit{M. Ouellet} and \textit{S. Tremblay}, J. Math. Phys. 61, No. 7, 072101, 19 p. (2020; Zbl 1454.81098) Full Text: DOI arXiv
Odibat, Zaid Fractional power series solutions of fractional differential equations by using generalized Taylor series. (English) Zbl 1455.34009 Appl. Comput. Math. 19, No. 1, 47-58 (2020). MSC: 34A08 34A25 34C20 41A58 34A12 PDFBibTeX XMLCite \textit{Z. Odibat}, Appl. Comput. Math. 19, No. 1, 47--58 (2020; Zbl 1455.34009) Full Text: Link
Devi, S. Sindu; Ganesan, K. Higher order fuzzy initial value problem through Taylor’s method. (English) Zbl 1511.34004 Int. J. Math. Comput. Sci. 15, No. 4, 1243-1251 (2020). MSC: 34A07 26E50 34A12 34A25 PDFBibTeX XMLCite \textit{S. S. Devi} and \textit{K. Ganesan}, Int. J. Math. Comput. Sci. 15, No. 4, 1243--1251 (2020; Zbl 1511.34004) Full Text: Link
Ferreira, Chelo; López, José; Pérez Sinusia, Ester Analysis of singular one-dimensional linear boundary value problems using two-point Taylor expansions. (English) Zbl 1463.34093 Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 22, 21 p. (2020). MSC: 34B16 34A25 34B05 41A58 PDFBibTeX XMLCite \textit{C. Ferreira} et al., Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 22, 21 p. (2020; Zbl 1463.34093) Full Text: DOI
Georgiev, Svetlin G.; Erhan, İnci M. The Taylor series method and trapezoidal rule on time scales. (English) Zbl 1488.65169 Appl. Math. Comput. 378, Article ID 125200, 13 p. (2020). MSC: 65L05 34N05 PDFBibTeX XMLCite \textit{S. G. Georgiev} and \textit{İ. M. Erhan}, Appl. Math. Comput. 378, Article ID 125200, 13 p. (2020; Zbl 1488.65169) Full Text: DOI
Breden, Maxime; Kuehn, Christian Computing invariant sets of random differential equations using polynomial chaos. (English) Zbl 1441.37057 SIAM J. Appl. Dyn. Syst. 19, No. 1, 577-618 (2020). Reviewer: Carlo Laing (Auckland) MSC: 37H10 37H05 37M21 37M22 34F05 60H35 41A58 65C30 PDFBibTeX XMLCite \textit{M. Breden} and \textit{C. Kuehn}, SIAM J. Appl. Dyn. Syst. 19, No. 1, 577--618 (2020; Zbl 1441.37057) Full Text: DOI arXiv
Ernsthausen, John M.; Nedialkov, Nedialko S. Stepsize selection in the rigorous defect control of Taylor series methods. (English) Zbl 1429.65145 J. Comput. Appl. Math. 368, Article ID 112483, 10 p. (2020). MSC: 65L05 34A34 41A58 65G20 65G40 41A10 PDFBibTeX XMLCite \textit{J. M. Ernsthausen} and \textit{N. S. Nedialkov}, J. Comput. Appl. Math. 368, Article ID 112483, 10 p. (2020; Zbl 1429.65145) Full Text: DOI
Tanriverdi, Tanfer Classical way of looking at the Lane-Emden equation. (English) Zbl 1487.34053 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 68, No. 1, 271-276 (2019). MSC: 34A25 34B30 PDFBibTeX XMLCite \textit{T. Tanriverdi}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 68, No. 1, 271--276 (2019; Zbl 1487.34053) Full Text: DOI
Silindir, Burcu; Yantir, Ahmet Generalized quantum exponential function and its applications. (English) Zbl 1513.26085 Filomat 33, No. 15, 4907-4922 (2019). MSC: 26E70 34N05 39A13 PDFBibTeX XMLCite \textit{B. Silindir} and \textit{A. Yantir}, Filomat 33, No. 15, 4907--4922 (2019; Zbl 1513.26085) Full Text: DOI
Murali, R.; Selvan, A. Hyers-Ulam stability of \(n\)th order linear differential equation. (English) Zbl 1448.34114 Proyecciones 38, No. 3, 553-566 (2019). Reviewer: Olusola Akinyele (Bowie) MSC: 34D10 34B15 34A30 PDFBibTeX XMLCite \textit{R. Murali} and \textit{A. Selvan}, Proyecciones 38, No. 3, 553--566 (2019; Zbl 1448.34114) Full Text: DOI
Guillot, Louis; Cochelin, Bruno; Vergez, Christophe A Taylor series-based continuation method for solutions of dynamical systems. (English) Zbl 1430.37099 Nonlinear Dyn. 98, No. 4, 2827-2845 (2019). MSC: 37M20 34E05 PDFBibTeX XMLCite \textit{L. Guillot} et al., Nonlinear Dyn. 98, No. 4, 2827--2845 (2019; Zbl 1430.37099) Full Text: DOI HAL
Varin, V. P. Integration of ordinary differential equations on Riemann surfaces with unbounded precision. (English. Russian original) Zbl 1430.34015 Comput. Math. Math. Phys. 59, No. 7, 1105-1120 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 7, 1158-1173 (2019). MSC: 34A25 PDFBibTeX XMLCite \textit{V. P. Varin}, Comput. Math. Math. Phys. 59, No. 7, 1105--1120 (2019; Zbl 1430.34015); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 7, 1158--1173 (2019) Full Text: DOI
Alvandi, Azizallah; Paripour, Mahmoud The combined reproducing kernel method and Taylor series for handling nonlinear Volterra integro-differential equations with derivative type kernel. (English) Zbl 1429.65305 Appl. Math. Comput. 355, 151-160 (2019). MSC: 65R20 34K07 45J05 45G10 PDFBibTeX XMLCite \textit{A. Alvandi} and \textit{M. Paripour}, Appl. Math. Comput. 355, 151--160 (2019; Zbl 1429.65305) Full Text: DOI
Jafarpour, Saber; Huang, Elizabeth Y.; Bullo, Francesco Synchronization of Kuramoto oscillators: inverse Taylor expansions. (English) Zbl 1462.34081 SIAM J. Control Optim. 57, No. 5, 3388-3412 (2019). Reviewer: Daniela Danciu (Craiova) MSC: 34D06 34C15 34A25 34D05 PDFBibTeX XMLCite \textit{S. Jafarpour} et al., SIAM J. Control Optim. 57, No. 5, 3388--3412 (2019; Zbl 1462.34081) Full Text: DOI arXiv
He, Ji-Huan; Ji, Fei-Yu Taylor series solution for Lane-Emden equation. (English) Zbl 1429.34027 J. Math. Chem. 57, No. 8, 1932-1934 (2019). MSC: 34A34 34A25 34A05 PDFBibTeX XMLCite \textit{J.-H. He} and \textit{F.-Y. Ji}, J. Math. Chem. 57, No. 8, 1932--1934 (2019; Zbl 1429.34027) Full Text: DOI
Shah, Firdous A.; Abass, Rustam Solution of fractional oscillator equations using ultraspherical wavelets. (English) Zbl 1420.65074 Int. J. Geom. Methods Mod. Phys. 16, No. 5, Article ID 1950075, 22 p. (2019). MSC: 65L05 41A58 34A08 34K37 42C40 65L10 PDFBibTeX XMLCite \textit{F. A. Shah} and \textit{R. Abass}, Int. J. Geom. Methods Mod. Phys. 16, No. 5, Article ID 1950075, 22 p. (2019; Zbl 1420.65074) Full Text: DOI
Zézé, Djédjé Sylvain; Potier-Ferry, Michel; Tampango, Yannick Multi-point Taylor series to solve differential equations. (English) Zbl 1426.34026 Discrete Contin. Dyn. Syst., Ser. S 12, No. 6, 1791-1806 (2019). MSC: 34A25 34B15 65L10 PDFBibTeX XMLCite \textit{D. S. Zézé} et al., Discrete Contin. Dyn. Syst., Ser. S 12, No. 6, 1791--1806 (2019; Zbl 1426.34026) Full Text: DOI
Ciusdel, C. F.; Coman, S.; Boldisor, Cr.; Kessler, T.; Muradyan, A.; Kovachev, A.; Lehrach, H.; Wierling, C.; Itu, L. M. Effect of linearization in a WNT signaling model. (English) Zbl 1423.92080 Comput. Math. Methods Med. 2019, Article ID 8461820, 9 p. (2019). MSC: 92C50 41A58 34A99 PDFBibTeX XMLCite \textit{C. F. Ciusdel} et al., Comput. Math. Methods Med. 2019, Article ID 8461820, 9 p. (2019; Zbl 1423.92080) Full Text: DOI
Freihet, Asad; Hasan, Shatha; Al-Smadi, Mohammed; Gaith, Mohamed; Momani, Shaher Construction of fractional power series solutions to fractional stiff system using residual functions algorithm. (English) Zbl 1458.34017 Adv. Difference Equ. 2019, Paper No. 95, 15 p. (2019). MSC: 34A08 65L04 34A25 PDFBibTeX XMLCite \textit{A. Freihet} et al., Adv. Difference Equ. 2019, Paper No. 95, 15 p. (2019; Zbl 1458.34017) Full Text: DOI
Benjemaa, Mondher Taylor’s formula involving generalized fractional derivatives. (English) Zbl 1427.26002 Appl. Math. Comput. 335, 182-195 (2018). MSC: 26A24 26A33 34A08 41A58 44A15 45K05 PDFBibTeX XMLCite \textit{M. Benjemaa}, Appl. Math. Comput. 335, 182--195 (2018; Zbl 1427.26002) Full Text: DOI arXiv
Yüzbaşi, Şuayip; Ismailov, Nurbol A Taylor operation method for solutions of generalized pantograph type delay differential equations. (English) Zbl 1424.34220 Turk. J. Math. 42, No. 2, 395-406 (2018). MSC: 34K07 41A58 65L03 34K28 PDFBibTeX XMLCite \textit{Ş. Yüzbaşi} and \textit{N. Ismailov}, Turk. J. Math. 42, No. 2, 395--406 (2018; Zbl 1424.34220) Full Text: DOI Link
Pourghanbar, Somayeh; Ranjbar, Mojtaba A new approximation method to solve boundary value problems by using functional perturbation concepts. (English) Zbl 1424.65113 Bol. Soc. Parana. Mat. (3) 36, No. 3, 9-25 (2018). MSC: 65L10 34A25 41A58 PDFBibTeX XMLCite \textit{S. Pourghanbar} and \textit{M. Ranjbar}, Bol. Soc. Parana. Mat. (3) 36, No. 3, 9--25 (2018; Zbl 1424.65113) Full Text: Link
Gasymov, Telman; Hashimov, Chingiz On an atomic decomposition in Banach spaces. (English) Zbl 1424.46017 Sahand Commun. Math. Anal. 9, No. 1, 15-32 (2018). MSC: 46B20 34L10 41A58 PDFBibTeX XMLCite \textit{T. Gasymov} and \textit{C. Hashimov}, Sahand Commun. Math. Anal. 9, No. 1, 15--32 (2018; Zbl 1424.46017) Full Text: DOI
Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester Convergent and asymptotic methods for second-order difference equations with a large parameter. (English) Zbl 1403.39001 Mediterr. J. Math. 15, No. 6, Paper No. 224, 19 p. (2018). MSC: 39A06 41A58 41A60 34B27 PDFBibTeX XMLCite \textit{C. Ferreira} et al., Mediterr. J. Math. 15, No. 6, Paper No. 224, 19 p. (2018; Zbl 1403.39001) Full Text: DOI Link
Bruno, Alexander D. Elements of nonlinear analysis. (English) Zbl 1405.34014 Filipuk, Galina (ed.) et al., Formal and analytic solutions of diff. equations, FASdiff, Alcalá de Henares, Spain, September 4–8, 2017. Selected, revised contributions. Cham: Springer (ISBN 978-3-319-99147-4/hbk; 978-3-319-99148-1/ebook). Springer Proceedings in Mathematics & Statistics 256, 3-23 (2018). MSC: 34A25 41A58 PDFBibTeX XMLCite \textit{A. D. Bruno}, Springer Proc. Math. Stat. 256, 3--23 (2018; Zbl 1405.34014) Full Text: DOI
Syam, Muhammed I. A numerical solution of fractional Lienard’s equation by using the residual power series method. (English) Zbl 06916877 Mathematics 6, No. 1, Paper No. 1, 9 p. (2018). MSC: 65Lxx 34A08 26A33 41A58 PDFBibTeX XMLCite \textit{M. I. Syam}, Mathematics 6, No. 1, Paper No. 1, 9 p. (2018; Zbl 06916877) Full Text: DOI
Al Khawaja, U.; Al-Mdallal, Qasem M. Convergent power series of \(\operatorname{sech}(x)\) and solutions to nonlinear differential equations. (English) Zbl 1487.34056 Int. J. Differ. Equ. 2018, Article ID 6043936, 10 p. (2018). MSC: 34A34 34A25 41A58 PDFBibTeX XMLCite \textit{U. Al Khawaja} and \textit{Q. M. Al-Mdallal}, Int. J. Differ. Equ. 2018, Article ID 6043936, 10 p. (2018; Zbl 1487.34056) Full Text: DOI
Ferreira, Chelo; López, José L.; Sinusía, Ester Pérez The use of two-point Taylor expansions in singular one-dimensional boundary value problems I. (English) Zbl 1395.34030 J. Math. Anal. Appl. 463, No. 2, 708-725 (2018). MSC: 34B16 34B15 34A25 PDFBibTeX XMLCite \textit{C. Ferreira} et al., J. Math. Anal. Appl. 463, No. 2, 708--725 (2018; Zbl 1395.34030) Full Text: DOI Link
Nosheen, Ammara; Bibi, Rabia; Pečarić, Josip Jensen-Steffensen inequality for diamond integrals, its converse and improvements via Green function and Taylor’s formula. (English) Zbl 1396.26037 Aequationes Math. 92, No. 2, 289-309 (2018). Reviewer: József Sándor (Cluj-Napoca) MSC: 26D15 39A13 34N05 PDFBibTeX XMLCite \textit{A. Nosheen} et al., Aequationes Math. 92, No. 2, 289--309 (2018; Zbl 1396.26037) Full Text: DOI
Wang, Yu-Lan; Tian, Dan; Bao, Shu-Hong; Li, Zhi-Yuan Using the iterative reproducing kernel method for solving a class of nonlinear fractional differential equations. (English) Zbl 1397.34027 Int. J. Comput. Math. 94, No. 12, 2558-2572 (2017). MSC: 34A08 34B15 34A45 34A25 PDFBibTeX XMLCite \textit{Y.-L. Wang} et al., Int. J. Comput. Math. 94, No. 12, 2558--2572 (2017; Zbl 1397.34027) Full Text: DOI
Van Gorder, Robert A. On the utility of the homotopy analysis method for non-analytic and global solutions to nonlinear differential equations. (English) Zbl 1375.65103 Numer. Algorithms 76, No. 1, 151-162 (2017). MSC: 65L10 34B15 34A25 65L20 PDFBibTeX XMLCite \textit{R. A. Van Gorder}, Numer. Algorithms 76, No. 1, 151--162 (2017; Zbl 1375.65103) Full Text: DOI
Zeybek, Halil; Dolapçı, İhsan Timuçin A new approach for numerical solution of linear and non-linear systems. (English) Zbl 1372.65200 J. Appl. Math. Inform. 35, No. 1-2, 165-180 (2017). MSC: 65L04 34A25 35F50 41A58 PDFBibTeX XMLCite \textit{H. Zeybek} and \textit{İ. T. Dolapçı}, J. Appl. Math. Inform. 35, No. 1--2, 165--180 (2017; Zbl 1372.65200) Full Text: DOI
Al-Srihin, Moh’d Khier; Al-Refai, Mohammed An efficient series solution for nonlinear multiterm fractional differential equations. (English) Zbl 1371.34006 Discrete Dyn. Nat. Soc. 2017, Article ID 5234151, 10 p. (2017). MSC: 34A08 34A25 34A12 PDFBibTeX XMLCite \textit{M. K. Al-Srihin} and \textit{M. Al-Refai}, Discrete Dyn. Nat. Soc. 2017, Article ID 5234151, 10 p. (2017; Zbl 1371.34006) Full Text: DOI
Reed, Josh; Zhang, Bo Managing capacity and inventory jointly for multi-server make-to-stock queues. (English) Zbl 1370.60180 Queueing Syst. 86, No. 1-2, 61-94 (2017). MSC: 60K25 60J60 90B22 90B05 90B30 68M20 34E05 41A58 PDFBibTeX XMLCite \textit{J. Reed} and \textit{B. Zhang}, Queueing Syst. 86, No. 1--2, 61--94 (2017; Zbl 1370.60180) Full Text: DOI
Nguyen-Ba, Truong; Abdulrahman, Alzahrani; Giordano, Thierry; Vaillancourt, Remi On contractivity-preserving 2- and 3-step predictor-corrector series for ODEs. (English) Zbl 1369.65089 J. Mod. Methods Numer. Math. 8, No. 1-2, 17-39 (2017). MSC: 65L06 65L05 34A34 70F10 PDFBibTeX XMLCite \textit{T. Nguyen-Ba} et al., J. Mod. Methods Numer. Math. 8, No. 1--2, 17--39 (2017; Zbl 1369.65089) Full Text: DOI
Ababneh, Faisal; Alquran, Marwan; Al-Khaled, Kamel; Chattopadhyay, Joydev A new and elegant approach for solving \(n\times n\)-order linear fractional differential equations. (English) Zbl 1369.34008 Mediterr. J. Math. 14, No. 2, Paper No. 98, 18 p. (2017). MSC: 34A08 34A30 34A25 PDFBibTeX XMLCite \textit{F. Ababneh} et al., Mediterr. J. Math. 14, No. 2, Paper No. 98, 18 p. (2017; Zbl 1369.34008) Full Text: DOI
Exner, Pavel; Lipovský, Jiří Pseudo-orbit approach to trajectories of resonances in quantum graphs with general vertex coupling: Fermi rule and high-energy asymptotics. (English) Zbl 1360.81169 J. Math. Phys. 58, No. 4, 042101, 14 p. (2017). MSC: 81Q35 81Q10 47A10 34F15 41A58 34D05 PDFBibTeX XMLCite \textit{P. Exner} and \textit{J. Lipovský}, J. Math. Phys. 58, No. 4, 042101, 14 p. (2017; Zbl 1360.81169) Full Text: DOI arXiv
Gözükırmızı, Coşar; Kırkın, Melike Ebru; Demiralp, Metin Probabilistic evolution theory for the solution of explicit autonomous ordinary differential equations: squarified telescope matrices. (English) Zbl 1359.65108 J. Math. Chem. 55, No. 1, 175-194 (2017). MSC: 65L05 34A34 34A25 PDFBibTeX XMLCite \textit{C. Gözükırmızı} et al., J. Math. Chem. 55, No. 1, 175--194 (2017; Zbl 1359.65108) Full Text: DOI
Odibat, Zaid M.; Kumar, Sunil; Shawagfeh, Nabil; Alsaedi, Ahmed; Hayat, Tasawar A study on the convergence conditions of generalized differential transform method. (English) Zbl 1354.26013 Math. Methods Appl. Sci. 40, No. 1, 40-48 (2017). MSC: 26A33 34A08 65L20 PDFBibTeX XMLCite \textit{Z. M. Odibat} et al., Math. Methods Appl. Sci. 40, No. 1, 40--48 (2017; Zbl 1354.26013) Full Text: DOI
Maklakov, Vladimir Nikolaevich Numerical integration of the boundary value problems for the second order nonlinear ordinary differential equations of an arbitrary structure using an iterative procedure. (Russian. English summary) Zbl 1424.65105 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 20, No. 2, 354-365 (2016). MSC: 65L10 34B99 PDFBibTeX XMLCite \textit{V. N. Maklakov}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 20, No. 2, 354--365 (2016; Zbl 1424.65105) Full Text: DOI MNR
Labecca, William; Guimarães, Osvaldo; Piqueira, José Roberto C. Coadjoint formalism: nonorthogonal basis problems. (English) Zbl 1400.65040 Math. Probl. Eng. 2016, Article ID 9718962, 9 p. (2016). MSC: 65L99 34A45 41A58 33C45 PDFBibTeX XMLCite \textit{W. Labecca} et al., Math. Probl. Eng. 2016, Article ID 9718962, 9 p. (2016; Zbl 1400.65040) Full Text: DOI
Aglić Aljinović, Andrea; Ćepulić, Vladimir; Elezović, Neven; Horvat Dmitrović, Lana; Marangunić, Ljubo; Šikić, Tomislav; Žgaljić Keko, Ana; Žubrinić, Darko; Županović, Vesna Mathematics 2. (Matematika 2.) (Croatian) Zbl 1388.26001 Manualia Universitatis Studiorum Zagrabiensis. Zagreb: Element (ISBN 978-953-197-588-9/pbk). 438 p. (2016). Reviewer: Franka Miriam Brueckler (Zagreb) MSC: 26-01 00A06 00A05 15-01 34-01 30-01 PDFBibTeX XMLCite \textit{A. Aglić Aljinović} et al., Matematika 2 (Croatian). Zagreb: Element (2016; Zbl 1388.26001)
Zlatanovska, Biljana Approximation for the solutions of Lorenz system with systems of differential equations. (English) Zbl 1364.37180 Mat. Bilt. 41, No. 1, 51-61 (2017). MSC: 37N30 41A58 65L06 65Y15 34A25 37C50 37M99 PDFBibTeX XMLCite \textit{B. Zlatanovska}, Mat. Bilt. 41, No. 1, 51--61 (2016; Zbl 1364.37180) Full Text: Link
McLachlan, Robert I.; Modin, Klas; Munthe-Kaas, Hans; Verdier, Olivier B-series methods are exactly the affine equivariant methods. (English) Zbl 1364.65145 Numer. Math. 133, No. 3, 599-622 (2016). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65L06 65L12 37C80 37C10 41A58 34A34 PDFBibTeX XMLCite \textit{R. I. McLachlan} et al., Numer. Math. 133, No. 3, 599--622 (2016; Zbl 1364.65145) Full Text: DOI arXiv
Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester On a modification of Olver’s method: a special case. (English) Zbl 1339.34064 Constr. Approx. 43, No. 2, 273-290 (2016). MSC: 34E05 41A58 41A60 34B27 34M03 PDFBibTeX XMLCite \textit{C. Ferreira} et al., Constr. Approx. 43, No. 2, 273--290 (2016; Zbl 1339.34064) Full Text: DOI arXiv Link
Gokmen, Elcin; Isik, Osman Rasit; Sezer, Mehmet Taylor collocation approach for delayed Lotka-Volterra predator-prey system. (English) Zbl 1410.65251 Appl. Math. Comput. 268, 671-684 (2015). MSC: 65L05 92D25 34K18 PDFBibTeX XMLCite \textit{E. Gokmen} et al., Appl. Math. Comput. 268, 671--684 (2015; Zbl 1410.65251) Full Text: DOI
Kim, Kyunghoon; Jang, Bongsoo A novel semi-analytical approach for solving nonlinear Volterra integro-differential equations. (English) Zbl 1410.65496 Appl. Math. Comput. 263, 25-35 (2015). MSC: 65R20 45J05 34K07 45D05 PDFBibTeX XMLCite \textit{K. Kim} and \textit{B. Jang}, Appl. Math. Comput. 263, 25--35 (2015; Zbl 1410.65496) Full Text: DOI
Nguyen-Ba, T.; Giordanom, T.; Vaillancourt, R. Contractivity-preserving, 4-step explicit, Hermite-Obrechkoff series ODE solvers of order 3 to 20. (English) Zbl 1374.65123 Acta Univ. Apulensis, Math. Inform. 44, 191-210 (2015). MSC: 65L06 65L05 34A34 65L20 65L70 70F10 PDFBibTeX XMLCite \textit{T. Nguyen-Ba} et al., Acta Univ. Apulensis, Math. Inform. 44, 191--210 (2015; Zbl 1374.65123)
Hirayama, H. Performance of a higher-order numerical method for solving ordinary differential equations by Taylor series. (English) Zbl 1336.65118 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Theoretical and computational advances. Papers based on the presentations at the international conference, IMSE, Karlsruhe, Germany, July 21–25, 2014. Cham: Birkhäuser/Springer (ISBN 978-3-319-16726-8/hbk; 978-3-319-16727-5/ebook). 321-328 (2015). MSC: 65L05 34A34 34A25 PDFBibTeX XMLCite \textit{H. Hirayama}, in: Integral methods in science and engineering. Theoretical and computational advances. Papers based on the presentations at the international conference, IMSE, Karlsruhe, Germany, July 21--25, 2014. Cham: Birkhäuser/Springer. 321--328 (2015; Zbl 1336.65118) Full Text: DOI
Bengochea, Gabriel; Verde-Star, Luis An operational approach to the Emden-Fowler equation. (English) Zbl 1337.34014 Math. Methods Appl. Sci. 38, No. 18, 4630-4637 (2015). MSC: 34A25 44A40 34A34 41A58 PDFBibTeX XMLCite \textit{G. Bengochea} and \textit{L. Verde-Star}, Math. Methods Appl. Sci. 38, No. 18, 4630--4637 (2015; Zbl 1337.34014) Full Text: DOI
Butcher, J. C. Runge-Kutta methods for ordinary differential equations. (English) Zbl 1330.65109 Al-Baali, Mehiddin (ed.) et al., Numerical analysis and optimization. Selected papers based on the presentations at the 3rd international conference, NAO-III, Muscat, Oman, January 5–9, 2014. Cham: Springer (ISBN 978-3-319-17688-8/hbk; 978-3-319-17689-5/ebook). Springer Proceedings in Mathematics & Statistics 134, 37-58 (2015). MSC: 65L06 65-02 65L05 34A34 65L20 PDFBibTeX XMLCite \textit{J. C. Butcher}, Springer Proc. Math. Stat. 134, 37--58 (2015; Zbl 1330.65109) Full Text: DOI
Jha, Navnit; Bieniasz, Lesław K. A fifth (six) order accurate, three-point compact finite difference scheme for the numerical solution of sixth order boundary value problems on geometric meshes. (English) Zbl 1326.65093 J. Sci. Comput. 64, No. 3, 898-913 (2015). MSC: 65L10 65L12 65L20 34B15 65L50 65L70 34B16 PDFBibTeX XMLCite \textit{N. Jha} and \textit{L. K. Bieniasz}, J. Sci. Comput. 64, No. 3, 898--913 (2015; Zbl 1326.65093) Full Text: DOI
Avedisov, Sergei S.; Orosz, Gábor Nonlinear network modes in cyclic systems with applications to connected vehicles. (English) Zbl 1320.93012 J. Nonlinear Sci. 25, No. 4, 1015-1049 (2015). MSC: 93A30 93A15 93C15 93C10 93C95 34A34 34C23 37G05 41A58 PDFBibTeX XMLCite \textit{S. S. Avedisov} and \textit{G. Orosz}, J. Nonlinear Sci. 25, No. 4, 1015--1049 (2015; Zbl 1320.93012) Full Text: DOI
Verma, Amit K.; Verma, Lajja Higher order time integration formula with application on Burgers’ equation. (English) Zbl 1318.65036 Int. J. Comput. Math. 92, No. 4, 756-771 (2015). MSC: 65L05 34A34 65M20 35Q53 65L20 65L70 PDFBibTeX XMLCite \textit{A. K. Verma} and \textit{L. Verma}, Int. J. Comput. Math. 92, No. 4, 756--771 (2015; Zbl 1318.65036) Full Text: DOI
Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester Convergent and asymptotic expansions of solutions of differential equations with a large parameter: Olver cases II and III. (English) Zbl 1337.34057 J. Integral Equations Appl. 27, No. 1, 27-45 (2015). Reviewer: Nicolae Lupa (Timisoara) MSC: 34E05 34A12 34B27 41A58 45D05 47N20 34A30 PDFBibTeX XMLCite \textit{C. Ferreira} et al., J. Integral Equations Appl. 27, No. 1, 27--45 (2015; Zbl 1337.34057) Full Text: DOI Euclid
Odibat, Zaid; Bataineh, A. Sami An adaptation of homotopy analysis method for reliable treatment of strongly nonlinear problems: construction of homotopy polynomials. (English) Zbl 1318.34021 Math. Methods Appl. Sci. 38, No. 5, 991-1000 (2015). MSC: 34A45 34A12 34A34 41A58 PDFBibTeX XMLCite \textit{Z. Odibat} and \textit{A. S. Bataineh}, Math. Methods Appl. Sci. 38, No. 5, 991--1000 (2015; Zbl 1318.34021) Full Text: DOI
De la Sen, M.; Ibeas, A.; Nistal, R. Approximate solutions by truncated Taylor series expansions of nonlinear differential equations and related shadowing property with applications. (English) Zbl 1474.34077 Abstr. Appl. Anal. 2014, Article ID 956318, 17 p. (2014). MSC: 34A45 41A58 PDFBibTeX XMLCite \textit{M. De la Sen} et al., Abstr. Appl. Anal. 2014, Article ID 956318, 17 p. (2014; Zbl 1474.34077) Full Text: DOI
Jang, Bongsoo Efficient analytic method for solving nonlinear fractional differential equations. (English) Zbl 1427.34009 Appl. Math. Modelling 38, No. 5-6, 1775-1787 (2014). MSC: 34A08 34A25 34A34 65L99 PDFBibTeX XMLCite \textit{B. Jang}, Appl. Math. Modelling 38, No. 5--6, 1775--1787 (2014; Zbl 1427.34009) Full Text: DOI
Kayedi-Bardeh, Amin; Eslahchi, M. R.; Dehghan, Mehdi A method for obtaining the operational matrix of fractional Jacobi functions and applications. (English) Zbl 1372.65221 J. Vib. Control 20, No. 5, 736-748 (2014). MSC: 65L60 34A08 PDFBibTeX XMLCite \textit{A. Kayedi-Bardeh} et al., J. Vib. Control 20, No. 5, 736--748 (2014; Zbl 1372.65221) Full Text: DOI
Sami, Bataineh A. Avoid the uncontrollability problems of the nonzero endpoint conditions via homotopy analysis method. (English) Zbl 1344.34030 Appl. Comput. Math. 13, No. 1, 78-90 (2014). MSC: 34A45 34A12 34A25 PDFBibTeX XMLCite \textit{B. A. Sami}, Appl. Comput. Math. 13, No. 1, 78--90 (2014; Zbl 1344.34030) Full Text: Link
Chang, Shih-Hsiang Taylor series method for solving a class of nonlinear singular boundary value problems arising in applied science. (English) Zbl 1337.65095 Appl. Math. Comput. 235, 110-117 (2014). MSC: 65L11 65L10 34B16 PDFBibTeX XMLCite \textit{S.-H. Chang}, Appl. Math. Comput. 235, 110--117 (2014; Zbl 1337.65095) Full Text: DOI
Groza, G.; Jianu, M.; Pop, N. Infinitely differentiable functions represented into Newton interpolating series. (English) Zbl 1349.41051 Carpathian J. Math. 30, No. 3, 309-316 (2014). MSC: 41A58 34B10 34A45 65L10 PDFBibTeX XMLCite \textit{G. Groza} et al., Carpathian J. Math. 30, No. 3, 309--316 (2014; Zbl 1349.41051)
Groza, Ghiocel; Jianu, Marilena Polynomial approximations of solutions of boundary value problems for ODEs which arise from engineering. (English) Zbl 1326.41035 Mihai, Adela (ed.) et al., Riemannian geometry and applications. Proceedings of the international conference – RIGA, Bucharest, Romania, May 19–21, 2014. Bucureşti: Editura Universităţii din Bucureşti (ISBN 978-606-16-0553-8). 131-143 (2014). MSC: 41A58 34B10 34A45 65L10 PDFBibTeX XMLCite \textit{G. Groza} and \textit{M. Jianu}, in: Riemannian geometry and applications. Proceedings of the international conference -- RIGA, Bucharest, Romania, May 19--21, 2014. Bucureşti: Editura Universităţii din Bucureşti. 131--143 (2014; Zbl 1326.41035)
Novikov, Eugeny A. \((m, 2)\)-methods of accuracy of a maximal order for stiff systems. (English) Zbl 1325.65106 Senichenkov, Yuri B. (ed.) et al., Recent advances in mathematical methods in applied sciences. Proceedings of the 2014 international conference on mathematical models and methods in applied sciences (MMMAS ’14) and the 2014 international conference on economics and applied statistics (EAS ’14), Saint Petersburg, Russia, September 23–25, 2014. St. Petersburg: St. Petersburg State University (ISBN 978-1-61804-251-4/pbk). Mathematics and Computers in Science and Engineering Series 32, 122-125 (2014). MSC: 65L06 65L05 65L04 34A34 65L20 PDFBibTeX XMLCite \textit{E. A. Novikov}, Math. Comput. Sci. Eng. Ser. 32, 122--125 (2014; Zbl 1325.65106)
Wu, Jingwen; Tian, Hongjiong Functionally-fitted block methods for ordinary differential equations. (English) Zbl 1321.65113 J. Comput. Appl. Math. 271, 356-368 (2014). MSC: 65L05 34A34 65L60 PDFBibTeX XMLCite \textit{J. Wu} and \textit{H. Tian}, J. Comput. Appl. Math. 271, 356--368 (2014; Zbl 1321.65113) Full Text: DOI