Zhang, Ruimin; Lin, Yingzhen A new algorithm of boundary value problems based on improved wavelet basis and the reproducing kernel theory. (English) Zbl 07822419 Math. Methods Appl. Sci. 47, No. 1, 47-57 (2024). MSC: 34A45 34B05 65L20 PDFBibTeX XMLCite \textit{R. Zhang} and \textit{Y. Lin}, Math. Methods Appl. Sci. 47, No. 1, 47--57 (2024; Zbl 07822419) Full Text: DOI
Gao, Yijin; Xie, Bowen Numerical analysis for fractional Bratu type equation with explicit and implicit methods. (English) Zbl 07816011 Math. Methods Appl. Sci. 46, No. 17, 18447-18457 (2023). MSC: 34A08 65M06 65N06 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{B. Xie}, Math. Methods Appl. Sci. 46, No. 17, 18447--18457 (2023; Zbl 07816011) Full Text: DOI
Oruç, Ömer; Polat, Murat A composite method based on delta-shaped basis functions and Lie group high-order geometric integrator for solving Kawahara-type equations. (English) Zbl 07815994 Math. Methods Appl. Sci. 46, No. 17, 18150-18165 (2023). MSC: 65M22 65N22 22E70 37M15 PDFBibTeX XMLCite \textit{Ö. Oruç} and \textit{M. Polat}, Math. Methods Appl. Sci. 46, No. 17, 18150--18165 (2023; Zbl 07815994) Full Text: DOI
Hosseini, Kamyar; Sadri, Khadijeh; Mirzazadeh, Mohammad; Ahmadian, Ali; Chu, Yu-Ming; Salahshour, Soheil Reliable methods to look for analytical and numerical solutions of a nonlinear differential equation arising in heat transfer with the conformable derivative. (English) Zbl 07787284 Math. Methods Appl. Sci. 46, No. 10, 11342-11354 (2023). MSC: 34A08 37M99 PDFBibTeX XMLCite \textit{K. Hosseini} et al., Math. Methods Appl. Sci. 46, No. 10, 11342--11354 (2023; Zbl 07787284) Full Text: DOI
Thieu N. Vo; Razzaghi, Mohsen; Mihai, Ion An approximate solution for variable-order fractional optimal control problem via Müntz-Legendre wavelets with an application in epidemiology. (English) Zbl 07784831 Math. Methods Appl. Sci. 46, No. 13, 13645-13660 (2023). MSC: 49J15 42C40 26A33 92D30 PDFBibTeX XMLCite \textit{Thieu N. Vo} et al., Math. Methods Appl. Sci. 46, No. 13, 13645--13660 (2023; Zbl 07784831) Full Text: DOI
Abu Arqub, Omar; Singh, Jagdev; Maayah, Banan; Alhodaly, Mohammed Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag-Leffler kernel differential operator. (English) Zbl 07782462 Math. Methods Appl. Sci. 46, No. 7, 7965-7986 (2023). MSC: 34A07 34A08 34A12 65L05 46E22 PDFBibTeX XMLCite \textit{O. Abu Arqub} et al., Math. Methods Appl. Sci. 46, No. 7, 7965--7986 (2023; Zbl 07782462) Full Text: DOI
Abu Arqub, Omar; Singh, Jagdev; Alhodaly, Mohammed Adaptation of kernel functions-based approach with Atangana-Baleanu-Caputo distributed order derivative for solutions of fuzzy fractional Volterra and Fredholm integrodifferential equations. (English) Zbl 07782455 Math. Methods Appl. Sci. 46, No. 7, 7807-7834 (2023). MSC: 34A07 34A08 46E22 26A33 PDFBibTeX XMLCite \textit{O. Abu Arqub} et al., Math. Methods Appl. Sci. 46, No. 7, 7807--7834 (2023; Zbl 07782455) Full Text: DOI
Istafa, Ghafirlia; Rehman, Mujeeb ur Numerical solutions of Hadamard fractional differential equations by generalized Legendre functions. (English) Zbl 07782390 Math. Methods Appl. Sci. 46, No. 6, 6821-6842 (2023). MSC: 65L05 34A08 PDFBibTeX XMLCite \textit{G. Istafa} and \textit{M. u. Rehman}, Math. Methods Appl. Sci. 46, No. 6, 6821--6842 (2023; Zbl 07782390) Full Text: DOI
Pandit, Biswajit; Verma, Amit Kumar; Agarwal, Ravi P. Existence and nonexistence results for a class of non-self-adjoint fourth-order singular boundary value problems arising in real life. (English) Zbl 07782153 Math. Methods Appl. Sci. 46, No. 5, 6077-6110 (2023). MSC: 34L30 34B27 34B15 PDFBibTeX XMLCite \textit{B. Pandit} et al., Math. Methods Appl. Sci. 46, No. 5, 6077--6110 (2023; Zbl 07782153) Full Text: DOI
Bai, Xueting; Yang, Qinle; Xie, Jiaquan; Chen, Lei Analysis of resonance and bifurcation in a fractional order nonlinear Duffing system. (English) Zbl 07782104 Math. Methods Appl. Sci. 46, No. 5, 5160-5175 (2023). MSC: 34C15 34A08 37C60 34B30 34C29 34C23 70K30 PDFBibTeX XMLCite \textit{X. Bai} et al., Math. Methods Appl. Sci. 46, No. 5, 5160--5175 (2023; Zbl 07782104) Full Text: DOI
Chen, Hongtao; He, Yuyu Conservative compact difference scheme based on the scalar auxiliary variable method for the generalized Kawahara equation. (English) Zbl 07781813 Math. Methods Appl. Sci. 46, No. 4, 4546-4562 (2023). MSC: 65M06 65N06 PDFBibTeX XMLCite \textit{H. Chen} and \textit{Y. He}, Math. Methods Appl. Sci. 46, No. 4, 4546--4562 (2023; Zbl 07781813) Full Text: DOI
Das, Subhajit; Rahman, Md Sadikur; Shaikh, Ali Akbar; Bhunia, Asoke Kumar; Konstantaras, Ioannis Interval Laplace transform and its application in production inventory. (English) Zbl 07781782 Math. Methods Appl. Sci. 46, No. 4, 3983-4002 (2023). MSC: 44A10 65G40 65R10 90B05 PDFBibTeX XMLCite \textit{S. Das} et al., Math. Methods Appl. Sci. 46, No. 4, 3983--4002 (2023; Zbl 07781782) Full Text: DOI
Geng, Lu-Lu; Yang, Xiao-Jun; Alsolami, Abdulrahman Ali New fractional integral formulas and kinetic model associated with the hypergeometric superhyperbolic sine function. (English) Zbl 07781276 Math. Methods Appl. Sci. 46, No. 2, 1809-1820 (2023). MSC: 26A33 34A08 44A20 PDFBibTeX XMLCite \textit{L.-L. Geng} et al., Math. Methods Appl. Sci. 46, No. 2, 1809--1820 (2023; Zbl 07781276) Full Text: DOI
Rashedi, Kamal Reconstruction of a time-dependent coefficient in nonlinear Klein-Gordon equation using Bernstein spectral method. (English) Zbl 07781273 Math. Methods Appl. Sci. 46, No. 2, 1752-1771 (2023). MSC: 81Q05 35L70 65N35 65M30 35R30 PDFBibTeX XMLCite \textit{K. Rashedi}, Math. Methods Appl. Sci. 46, No. 2, 1752--1771 (2023; Zbl 07781273) Full Text: DOI
Saldır, Onur; Giyas Sakar, Mehmet An effective approach for numerical solution of linear and nonlinear singular boundary value problems. (English) Zbl 1527.65059 Math. Methods Appl. Sci. 46, No. 1, 1395-1410 (2023). MSC: 65L10 34B16 42C10 47B32 PDFBibTeX XMLCite \textit{O. Saldır} and \textit{M. Giyas Sakar}, Math. Methods Appl. Sci. 46, No. 1, 1395--1410 (2023; Zbl 1527.65059) Full Text: DOI
Mohapatra, Dhabaleswar; Chakraverty, Snehashish Type-2 fuzzy linear system of equations with application in static problem of structures. (English) Zbl 07781158 Math. Methods Appl. Sci. 46, No. 1, 840-866 (2023). MSC: 15A06 15B15 PDFBibTeX XMLCite \textit{D. Mohapatra} and \textit{S. Chakraverty}, Math. Methods Appl. Sci. 46, No. 1, 840--866 (2023; Zbl 07781158) Full Text: DOI
Liu, Jian-Gen; Yang, Xiao-Jun; Feng, Yi-Ying; Geng, Lu-Lu A new fractional derivative for solving time fractional diffusion wave equation. (English) Zbl 07781123 Math. Methods Appl. Sci. 46, No. 1, 267-272 (2023). MSC: 35R11 35A08 35A24 PDFBibTeX XMLCite \textit{J.-G. Liu} et al., Math. Methods Appl. Sci. 46, No. 1, 267--272 (2023; Zbl 07781123) Full Text: DOI
Bai, Hongfang; Leong, Ieng Tak; Dang, Pei Reproducing kernel representation of the solution of second order linear three-point boundary value problem. (English) Zbl 07812769 Math. Methods Appl. Sci. 45, No. 17, 11181-11205 (2022). MSC: 35G15 46E22 PDFBibTeX XMLCite \textit{H. Bai} et al., Math. Methods Appl. Sci. 45, No. 17, 11181--11205 (2022; Zbl 07812769) Full Text: DOI
Rashid, Saima; Kubra, Khadija T.; Jafari, Hossein; Lehre, Sana Ullah A semi-analytical approach for fractional order Boussinesq equation in a gradient unconfined aquifers. (English) Zbl 07787277 Math. Methods Appl. Sci. 45, No. 2, 1033-1062 (2022). MSC: 35R11 35G25 35C10 81Q05 PDFBibTeX XMLCite \textit{S. Rashid} et al., Math. Methods Appl. Sci. 45, No. 2, 1033--1062 (2022; Zbl 07787277) Full Text: DOI
Li, Xiuying; Wang, Hongliang; Wu, Boying An accurate numerical technique for fractional oscillation equations with oscillatory solutions. (English) Zbl 07787273 Math. Methods Appl. Sci. 45, No. 2, 956-966 (2022). MSC: 34A08 65L04 65L05 PDFBibTeX XMLCite \textit{X. Li} et al., Math. Methods Appl. Sci. 45, No. 2, 956--966 (2022; Zbl 07787273) Full Text: DOI
Ghanbari, Ghodsieh; Razzaghi, Mohsen Fractional-order Chebyshev wavelet method for variable-order fractional optimal control problems. (English) Zbl 07787266 Math. Methods Appl. Sci. 45, No. 2, 827-842 (2022). MSC: 49L99 49M05 34A08 PDFBibTeX XMLCite \textit{G. Ghanbari} and \textit{M. Razzaghi}, Math. Methods Appl. Sci. 45, No. 2, 827--842 (2022; Zbl 07787266) Full Text: DOI
Mezouaghi, Abdelheq; Djilali, Salih; Bentout, Soufiane; Biroud, Kheireddine Bifurcation analysis of a diffusive predator-prey model with prey social behavior and predator harvesting. (English) Zbl 07787259 Math. Methods Appl. Sci. 45, No. 2, 718-731 (2022). MSC: 35B32 35K51 35K57 92D25 PDFBibTeX XMLCite \textit{A. Mezouaghi} et al., Math. Methods Appl. Sci. 45, No. 2, 718--731 (2022; Zbl 07787259) Full Text: DOI
Khodabandelo, Hamid R.; Shivanian, Elyas; Abbasbandy, Saeid A novel shifted Jacobi operational matrix method for nonlinear multi-terms delay differential equations of fractional variable-order with periodic and anti-periodic conditions. (English) Zbl 07781421 Math. Methods Appl. Sci. 45, No. 16, 10116-10135 (2022). MSC: 65M99 PDFBibTeX XMLCite \textit{H. R. Khodabandelo} et al., Math. Methods Appl. Sci. 45, No. 16, 10116--10135 (2022; Zbl 07781421) Full Text: DOI
Deswal, Komal; Kumar, Devendra A wavelet-based novel approximation to investigate the sensitivities of various path-independent binary options. (English) Zbl 07781386 Math. Methods Appl. Sci. 45, No. 16, 9456-9482 (2022). MSC: 35Q91 91G20 91G60 65T60 35K10 65M12 PDFBibTeX XMLCite \textit{K. Deswal} and \textit{D. Kumar}, Math. Methods Appl. Sci. 45, No. 16, 9456--9482 (2022; Zbl 07781386) Full Text: DOI
Torkaman, Soraya; Heydari, Mohammad; Barid Loghmani, Ghasem Piecewise barycentric interpolating functions for the numerical solution of Volterra integro-differential equations. (English) Zbl 07766890 Math. Methods Appl. Sci. 45, No. 10, 6030-6061 (2022). MSC: 65R20 45J05 45D05 PDFBibTeX XMLCite \textit{S. Torkaman} et al., Math. Methods Appl. Sci. 45, No. 10, 6030--6061 (2022; Zbl 07766890) Full Text: DOI
Giresunlu, I. B.; Özkan, Y. Sağlam; Yaşar, E. On the exact solutions, Lie symmetry analysis, and conservation laws of Schamel-Korteweg-de Vries equation. (English) Zbl 1368.35015 Math. Methods Appl. Sci. 40, No. 11, 3927-3936 (2017). MSC: 35B06 34C14 35L65 35C07 35Q53 83C15 PDFBibTeX XMLCite \textit{I. B. Giresunlu} et al., Math. Methods Appl. Sci. 40, No. 11, 3927--3936 (2017; Zbl 1368.35015) Full Text: DOI
Najafi, Ramin; Küçük, Gökçe Dilek; Çelik, Ercan Modified iteration method for solving fractional gas dynamics equation. (English) Zbl 1404.44002 Math. Methods Appl. Sci. 40, No. 4, 939-946 (2017). MSC: 44A10 35C10 35R11 PDFBibTeX XMLCite \textit{R. Najafi} et al., Math. Methods Appl. Sci. 40, No. 4, 939--946 (2017; Zbl 1404.44002) Full Text: DOI
Shokri, Ali; Habibirad, Ali A moving Kriging-based MLPG method for nonlinear Klein-Gordon equation. (English) Zbl 1357.35017 Math. Methods Appl. Sci. 39, No. 18, 5381-5394 (2016). MSC: 35A35 35L71 35L20 65M60 PDFBibTeX XMLCite \textit{A. Shokri} and \textit{A. Habibirad}, Math. Methods Appl. Sci. 39, No. 18, 5381--5394 (2016; Zbl 1357.35017) Full Text: DOI
Dehghan, Mehdi; Safarpoor, Mansour The dual reciprocity boundary elements method for the linear and nonlinear two-dimensional time-fractional partial differential equations. (English) Zbl 1347.65182 Math. Methods Appl. Sci. 39, No. 14, 3979-3995 (2016). MSC: 65N38 35R11 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Safarpoor}, Math. Methods Appl. Sci. 39, No. 14, 3979--3995 (2016; Zbl 1347.65182) Full Text: DOI
Eshaghi, Jafar; Adibi, Hojatollah; Kazem, Saeed Solution of nonlinear weakly singular Volterra integral equations using the fractional-order Legendre functions and pseudospectral method. (English) Zbl 1351.65101 Math. Methods Appl. Sci. 39, No. 12, 3411-3425 (2016). Reviewer: Ivan Secrieru (Chişinău) MSC: 65R20 45D05 45G05 PDFBibTeX XMLCite \textit{J. Eshaghi} et al., Math. Methods Appl. Sci. 39, No. 12, 3411--3425 (2016; Zbl 1351.65101) Full Text: DOI
Dehghan, Mehdi; Safarpoor, Mansour The dual reciprocity boundary integral equation technique to solve a class of the linear and nonlinear fractional partial differential equations. (English) Zbl 1342.65224 Math. Methods Appl. Sci. 39, No. 10, 2461-2476 (2016). MSC: 65N38 35R11 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Safarpoor}, Math. Methods Appl. Sci. 39, No. 10, 2461--2476 (2016; Zbl 1342.65224) Full Text: DOI
Shivanian, Elyas Spectral meshless radial point interpolation (SMRPI) method to two-dimensional fractional telegraph equation. (English) Zbl 1339.65195 Math. Methods Appl. Sci. 39, No. 7, 1820-1835 (2016). MSC: 65M70 35L20 35R11 65M06 65M12 PDFBibTeX XMLCite \textit{E. Shivanian}, Math. Methods Appl. Sci. 39, No. 7, 1820--1835 (2016; Zbl 1339.65195) Full Text: DOI
Bhrawy, Ali; Zaky, Mahmoud A fractional-order Jacobi tau method for a class of time-fractional PDEs with variable coefficients. (English) Zbl 1382.65338 Math. Methods Appl. Sci. 39, No. 7, 1765-1779 (2016). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{A. Bhrawy} and \textit{M. Zaky}, Math. Methods Appl. Sci. 39, No. 7, 1765--1779 (2016; Zbl 1382.65338) Full Text: DOI
Kudryashov, Nikolay A.; Gaiur, Ilya Y. Painlevé analysis and exact solutions of the nonlinear diffusion equation with a polynomial source. (English) Zbl 1337.35159 Math. Methods Appl. Sci. 39, No. 3, 488-497 (2016). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q92 35C07 35A24 34M55 35Q85 PDFBibTeX XMLCite \textit{N. A. Kudryashov} and \textit{I. Y. Gaiur}, Math. Methods Appl. Sci. 39, No. 3, 488--497 (2016; Zbl 1337.35159) Full Text: DOI
Naseri, R.; Malek, A.; van Gorder, R. A. On existence and multiplicity of similarity solutions to a nonlinear differential equation arising in magnetohydrodynamic Falkner-Skan flow for decelerated flows. (English) Zbl 1339.34037 Math. Methods Appl. Sci. 38, No. 17, 4272-4278 (2015). Reviewer: Klaus R. Schneider (Berlin) MSC: 34B15 76W05 34B40 PDFBibTeX XMLCite \textit{R. Naseri} et al., Math. Methods Appl. Sci. 38, No. 17, 4272--4278 (2015; Zbl 1339.34037) Full Text: DOI
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
Baxter, Mathew; Van Gorder, Robert A. Exact and analytical solutions for a nonlinear sigma model. (English) Zbl 1383.35187 Math. Methods Appl. Sci. 37, No. 11, 1642-1651 (2014). MSC: 35Q53 35C07 76B25 PDFBibTeX XMLCite \textit{M. Baxter} and \textit{R. A. Van Gorder}, Math. Methods Appl. Sci. 37, No. 11, 1642--1651 (2014; Zbl 1383.35187) Full Text: DOI
Jabbari, A.; Kheiri, H.; Bekir, A. Analytical solution of variant Boussinesq equations. (English) Zbl 1426.76542 Math. Methods Appl. Sci. 37, No. 6, 931-936 (2014). MSC: 76M25 76B15 PDFBibTeX XMLCite \textit{A. Jabbari} et al., Math. Methods Appl. Sci. 37, No. 6, 931--936 (2014; Zbl 1426.76542) Full Text: DOI
Hesameddini, Esmail; Latifizadeh, Habibolla Homotopy analysis method to obtain numerical solutions of the Painlevé equations. (English) Zbl 1252.34020 Math. Methods Appl. Sci. 35, No. 12, 1423-1433 (2012). MSC: 34A45 34M55 34A25 PDFBibTeX XMLCite \textit{E. Hesameddini} and \textit{H. Latifizadeh}, Math. Methods Appl. Sci. 35, No. 12, 1423--1433 (2012; Zbl 1252.34020) Full Text: DOI
Abdou, Mohamed Aly Mohamed; Soliman, Abdel-Maksoudabdel-Kader New explicit approximate solution of MHD viscoelastic boundary layer flow over stretching sheet. (English) Zbl 1345.76113 Math. Methods Appl. Sci. 35, No. 10, 1117-1125 (2012). MSC: 76W05 80A20 65L99 PDFBibTeX XMLCite \textit{M. A. M. Abdou} and \textit{A.-M.-K. Soliman}, Math. Methods Appl. Sci. 35, No. 10, 1117--1125 (2012; Zbl 1345.76113) Full Text: DOI
Hosseini, K.; Biazar, J.; Ansari, R.; Gholamin, P. A new algorithm for solving differential equations. (English) Zbl 1255.34012 Math. Methods Appl. Sci. 35, No. 9, 993-999 (2012). Reviewer: Nicolae Pop (Baia Mare) MSC: 34A25 34A34 34A45 PDFBibTeX XMLCite \textit{K. Hosseini} et al., Math. Methods Appl. Sci. 35, No. 9, 993--999 (2012; Zbl 1255.34012) Full Text: DOI
Aslan, Ísmail The first integral method for constructing exact and explicit solutions to nonlinear evolution equations. (English) Zbl 1237.35136 Math. Methods Appl. Sci. 35, No. 6, 716-722 (2012). MSC: 35Q53 35C07 PDFBibTeX XMLCite \textit{Í. Aslan}, Math. Methods Appl. Sci. 35, No. 6, 716--722 (2012; Zbl 1237.35136) Full Text: DOI Link
Vosughi, Hossein; Shivanian, Elyas; Abbasbandy, Saeid A new analytical technique to solve Volterra’s integral equations. (English) Zbl 1239.65084 Math. Methods Appl. Sci. 34, No. 10, 1243-1253 (2011). Reviewer: Hui-Sheng Ding (Jiangxi) MSC: 65R20 45G10 45G05 45D05 45E10 45A05 PDFBibTeX XMLCite \textit{H. Vosughi} et al., Math. Methods Appl. Sci. 34, No. 10, 1243--1253 (2011; Zbl 1239.65084) Full Text: DOI
Hassan, Hany N.; El-Tawil, Magdy A. An efficient analytic approach for solving two-point nonlinear boundary value problems by homotopy analysis method. (English) Zbl 1226.34021 Math. Methods Appl. Sci. 34, No. 8, 977-989 (2011). Reviewer: Feng Xie (Shanghai) MSC: 34B15 34A45 34A25 PDFBibTeX XMLCite \textit{H. N. Hassan} and \textit{M. A. El-Tawil}, Math. Methods Appl. Sci. 34, No. 8, 977--989 (2011; Zbl 1226.34021) Full Text: DOI
Hassan, Hany N.; El-Tawil, Magdy A. A new technique of using homotopy analysis method for solving high-order nonlinear differential equations. (English) Zbl 1215.35046 Math. Methods Appl. Sci. 34, No. 6, 728-742 (2011). MSC: 35G25 35C10 35Q51 35A25 PDFBibTeX XMLCite \textit{H. N. Hassan} and \textit{M. A. El-Tawil}, Math. Methods Appl. Sci. 34, No. 6, 728--742 (2011; Zbl 1215.35046) Full Text: DOI
Kimiaeifar, A. An analytical approach to investigate the response and stability of Van der Pol-Mathieu-Duffing oscillators under different excitation functions. (English) Zbl 1304.34098 Math. Methods Appl. Sci. 33, No. 13, 1571-1577 (2010). MSC: 34D20 PDFBibTeX XMLCite \textit{A. Kimiaeifar}, Math. Methods Appl. Sci. 33, No. 13, 1571--1577 (2010; Zbl 1304.34098) Full Text: DOI
Dehghan, Mehdi; Heris, Jalil Manafian; Saadatmandi, Abbas Application of semi-analytic methods for the Fitzhugh-Nagumo equation, which models the transmission of nerve impulses. (English) Zbl 1196.35025 Math. Methods Appl. Sci. 33, No. 11, 1384-1398 (2010). MSC: 35A25 35K57 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Math. Methods Appl. Sci. 33, No. 11, 1384--1398 (2010; Zbl 1196.35025) Full Text: DOI