Rehman, Hamood Ur; Imran, Muhammad Asjad; Ullah, Naeem; Akgül, Ali Exact solutions of \((2+1)\)-dimensional Schrödinger’s hyperbolic equation using different techniques. (English) Zbl 07769131 Numer. Methods Partial Differ. Equations 39, No. 6, 4575-4594 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{H. U. Rehman} et al., Numer. Methods Partial Differ. Equations 39, No. 6, 4575--4594 (2023; Zbl 07769131) 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
Qayyum, Mubashir; Oscar, Imbsat Least square homotopy perturbation method for ordinary differential equations. (English) Zbl 1477.65116 J. Math. 2021, Article ID 7059194, 16 p. (2021). MSC: 65L10 34B15 PDFBibTeX XMLCite \textit{M. Qayyum} and \textit{I. Oscar}, J. Math. 2021, Article ID 7059194, 16 p. (2021; Zbl 1477.65116) Full Text: DOI
Msmali, Ahmed Hussein; Alotaibi, A. M.; El-Moneam, M. A.; Badr, Badr S.; Ahmadini, Abdullah Ali H. A general scheme for solving systems of linear first-order differential equations based on the differential transform method. (English) Zbl 1477.65128 J. Math. 2021, Article ID 8839201, 9 p. (2021). MSC: 65L99 34A25 PDFBibTeX XMLCite \textit{A. H. Msmali} et al., J. Math. 2021, Article ID 8839201, 9 p. (2021; Zbl 1477.65128) Full Text: DOI
Pandey, R. K.; Tomar, Saurabh An efficient analytical iterative technique for solving nonlinear differential equations. (English) Zbl 1476.34075 Comput. Appl. Math. 40, No. 5, Paper No. 180, 16 p. (2021). MSC: 34B16 65L10 65L60 PDFBibTeX XMLCite \textit{R. K. Pandey} and \textit{S. Tomar}, Comput. Appl. Math. 40, No. 5, Paper No. 180, 16 p. (2021; Zbl 1476.34075) Full Text: DOI
Manafian, Jalil An optimal Galerkin-homotopy asymptotic method applied to the nonlinear second-order BVPs. (English) Zbl 1474.65263 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 47, No. 1, 156-182 (2021). MSC: 65L99 76S05 PDFBibTeX XMLCite \textit{J. Manafian}, Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 47, No. 1, 156--182 (2021; Zbl 1474.65263) Full Text: DOI
Felix, I. C.; Okuonghae, R. I. On the generalisation of Padé approximation approach for the construction of \(p\)-stable hybrid linear multistep methods. (English) Zbl 07079011 Int. J. Appl. Comput. Math. 5, No. 3, Paper No. 93, 20 p. (2019). MSC: 65-XX 34-XX PDFBibTeX XMLCite \textit{I. C. Felix} and \textit{R. I. Okuonghae}, Int. J. Appl. Comput. Math. 5, No. 3, Paper No. 93, 20 p. (2019; Zbl 07079011) Full Text: DOI
Lu, Yanfei; Yin, Qingfei; Li, Hongyi; Sun, Hongli; Yang, Yunlei; Hou, Muzhou The LS-SVM algorithms for boundary value problems of high-order ordinary differential equations. (English) Zbl 1459.65116 Adv. Difference Equ. 2019, Paper No. 195, 22 p. (2019). MSC: 65L10 34B15 65L60 34B05 PDFBibTeX XMLCite \textit{Y. Lu} et al., Adv. Difference Equ. 2019, Paper No. 195, 22 p. (2019; Zbl 1459.65116) Full Text: DOI
Ali, Liaqat; Islam, Saeed; Gul, Taza; Alshomrani, Ali Saleh; Ullah, Murad A new analytical approach for solving nonlinear boundary value problems arising in nonlinear phenomena. (English) Zbl 1499.65315 Filomat 32, No. 7, 2489-2497 (2018). MSC: 65L10 34B15 PDFBibTeX XMLCite \textit{L. Ali} et al., Filomat 32, No. 7, 2489--2497 (2018; Zbl 1499.65315) Full Text: DOI
Kheybari, S.; Darvishi, M. T. An efficient technique to find semi-analytical solutions for higher order multi-point boundary value problems. (English) Zbl 1427.34036 Appl. Math. Comput. 336, 76-93 (2018). MSC: 34B10 34A45 PDFBibTeX XMLCite \textit{S. Kheybari} and \textit{M. T. Darvishi}, Appl. Math. Comput. 336, 76--93 (2018; Zbl 1427.34036) Full Text: DOI
Xie, Lie-jun; Zhou, Cai-lian; Xu, Song An effective computational method for solving linear multi-point boundary value problems. (English) Zbl 1426.65103 Appl. Math. Comput. 321, 255-266 (2018). MSC: 65L10 34B10 34B15 PDFBibTeX XMLCite \textit{L.-j. Xie} et al., Appl. Math. Comput. 321, 255--266 (2018; Zbl 1426.65103) Full Text: DOI
Nabati, Mohammad; Emamjome, Mahdi; Jalalvand, Mehdi Reproducing kernel pseudospectral method for the numerical investigation of nonlinear multi-point boundary value problems. (English) Zbl 1413.74098 Comput. Appl. Math. 37, No. 5, 6530-6543 (2018). MSC: 74S25 34B15 65L20 65L10 PDFBibTeX XMLCite \textit{M. Nabati} et al., Comput. Appl. Math. 37, No. 5, 6530--6543 (2018; Zbl 1413.74098) Full Text: DOI
Bildik, Necdet; Deniz, Sinan Comparative study between optimal homotopy asymptotic method and perturbation-iteration technique for different types of nonlinear equations. (English) Zbl 1397.65021 Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 2, 647-654 (2018). MSC: 65C99 47H14 81Q15 PDFBibTeX XMLCite \textit{N. Bildik} and \textit{S. Deniz}, Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 2, 647--654 (2018; Zbl 1397.65021) Full Text: DOI
Azarnavid, Babak; Parand, Kourosh An iterative reproducing kernel method in Hilbert space for the multi-point boundary value problems. (English) Zbl 1375.65101 J. Comput. Appl. Math. 328, 151-163 (2018). MSC: 65L10 34B10 46E22 65L20 65L70 PDFBibTeX XMLCite \textit{B. Azarnavid} and \textit{K. Parand}, J. Comput. Appl. Math. 328, 151--163 (2018; Zbl 1375.65101) Full Text: DOI
Qayyum, Mubashir; Khan, Hamid; Rahim, M. T. A novel approach to approximate unsteady squeezing flow through porous medium. (English) Zbl 1448.76162 J. Prime Res. Math. 12, 91-109 (2016). MSC: 76S05 76M99 PDFBibTeX XMLCite \textit{M. Qayyum} et al., J. Prime Res. Math. 12, 91--109 (2016; Zbl 1448.76162) Full Text: Link
Hemeda, A. A.; Eladdad, E. E. Iterative methods for solving the fractional form of unsteady axisymmetric squeezing fluid flow with slip and no-slip boundaries. (English) Zbl 1388.76251 Adv. Math. Phys. 2016, Article ID 6021462, 11 p. (2016). MSC: 76M25 65M99 35R11 76Dxx PDFBibTeX XMLCite \textit{A. A. Hemeda} and \textit{E. E. Eladdad}, Adv. Math. Phys. 2016, Article ID 6021462, 11 p. (2016; Zbl 1388.76251) Full Text: DOI
Xie, Lie-Jun; Zhou, Cai-Lian; Xu, Song A new algorithm based on differential transform method for solving multi-point boundary value problems. (English) Zbl 1343.65096 Int. J. Comput. Math. 93, No. 6, 981-994 (2016). MSC: 65L10 34B10 34B15 PDFBibTeX XMLCite \textit{L.-J. Xie} et al., Int. J. Comput. Math. 93, No. 6, 981--994 (2016; Zbl 1343.65096) Full Text: DOI
Qayyum, Mubashir; Khan, Hamid; Rahim, M. Tariq; Ullah, Inayat Analysis of unsteady axisymmetric squeezing fluid flow with slip and no-slip boundaries using OHAM. (English) Zbl 1394.76042 Math. Probl. Eng. 2015, Article ID 860857, 11 p. (2015). MSC: 76D05 76M25 65M99 PDFBibTeX XMLCite \textit{M. Qayyum} et al., Math. Probl. Eng. 2015, Article ID 860857, 11 p. (2015; Zbl 1394.76042) Full Text: DOI
Costabile, F.; Napoli, A. A method for high-order multipoint boundary value problems with Birkhoff-type conditions. (English) Zbl 1308.65123 Int. J. Comput. Math. 92, No. 1, 192-200 (2015). MSC: 65L10 65D05 PDFBibTeX XMLCite \textit{F. Costabile} and \textit{A. Napoli}, Int. J. Comput. Math. 92, No. 1, 192--200 (2015; Zbl 1308.65123) Full Text: DOI
Ullah, Inayat; Rahim, M. T.; Khan, Hamid Application of Daftardar Jafari method to first grade MHD squeezing fluid flow in a porous medium with slip boundary condition. (English) Zbl 1470.76115 Abstr. Appl. Anal. 2014, Article ID 479136, 8 p. (2014). MSC: 76W05 76S05 PDFBibTeX XMLCite \textit{I. Ullah} et al., Abstr. Appl. Anal. 2014, Article ID 479136, 8 p. (2014; Zbl 1470.76115) Full Text: DOI
Reutskiy, S. Yu. A method of particular solutions for multi-point boundary value problems. (English) Zbl 1337.65112 Appl. Math. Comput. 243, 559-569 (2014). MSC: 65L99 PDFBibTeX XMLCite \textit{S. Yu. Reutskiy}, Appl. Math. Comput. 243, 559--569 (2014; Zbl 1337.65112) Full Text: DOI
Taha, Mohamed Recursive differentiation method for boundary value problems: Application to analysis of a beam-column on an elastic foundation. (English) Zbl 1330.34043 J. Theor. Appl. Mech., Sofia 44, No. 2, 57-70 (2014). MSC: 34B15 74K10 74G10 PDFBibTeX XMLCite \textit{M. Taha}, J. Theor. Appl. Mech., Sofia 44, No. 2, 57--70 (2014; Zbl 1330.34043)
Alomari, A. K.; Ratib Anakira, N.; Bataineh, A. Sami; Hashim, I. Approximate solution of nonlinear system of BVP arising in fluid flow problem. (English) Zbl 1296.34058 Math. Probl. Eng. 2013, Article ID 136043, 7 p. (2013). MSC: 34A45 34B15 76D10 PDFBibTeX XMLCite \textit{A. K. Alomari} et al., Math. Probl. Eng. 2013, Article ID 136043, 7 p. (2013; Zbl 1296.34058) Full Text: DOI
Ullah, H.; Islam, S.; Idrees, M.; Arif, M. Solution of boundary layer problems with heat transfer by optimal homotopy asymptotic method. (English) Zbl 1291.65255 Abstr. Appl. Anal. 2013, Article ID 324869, 10 p. (2013). MSC: 65L99 34A25 34A45 PDFBibTeX XMLCite \textit{H. Ullah} et al., Abstr. Appl. Anal. 2013, Article ID 324869, 10 p. (2013; Zbl 1291.65255) Full Text: DOI
Anakira, N. Ratib; Alomari, A. K.; Hashim, I. Numerical scheme for solving singular two-point boundary value problems. (English) Zbl 1266.65133 J. Appl. Math. 2013, Article ID 468909, 8 p. (2013). MSC: 65L10 PDFBibTeX XMLCite \textit{N. R. Anakira} et al., J. Appl. Math. 2013, Article ID 468909, 8 p. (2013; Zbl 1266.65133) Full Text: DOI
He, Ji-Huan Asymptotic methods for solitary solutions and compactons. (English) Zbl 1257.35158 Abstr. Appl. Anal. 2012, Article ID 916793, 130 p. (2012). MSC: 35Q51 35C08 35R11 35-01 PDFBibTeX XMLCite \textit{J.-H. He}, Abstr. Appl. Anal. 2012, Article ID 916793, 130 p. (2012; Zbl 1257.35158) Full Text: DOI
Idrees, M.; Islam, Saeed; Tirmizi, Syed Ikram Abbas; Haq, Sirajul Application of the optimal homotopy asymptotic method for the solution of the Korteweg-de Vries equation. (English) Zbl 1255.35194 Math. Comput. Modelling 55, No. 3-4, 1324-1333 (2012). MSC: 35Q53 35A35 PDFBibTeX XMLCite \textit{M. Idrees} et al., Math. Comput. Modelling 55, No. 3--4, 1324--1333 (2012; Zbl 1255.35194) Full Text: DOI
Doha, E. H.; Bhrawy, A. H.; Hafez, R. M. On shifted Jacobi spectral method for high-order multi-point boundary value problems. (English) Zbl 1251.65112 Commun. Nonlinear Sci. Numer. Simul. 17, No. 10, 3802-3810 (2012). MSC: 65L10 34B05 34B10 34B15 65L60 65L20 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 10, 3802--3810 (2012; Zbl 1251.65112) Full Text: DOI
Saadatmandi, Abbas; Dehghan, Mehdi The use of sinc-collocation method for solving multi-point boundary value problems. (English) Zbl 1244.65114 Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 593-601 (2012). MSC: 65L10 65L60 34B10 34B15 PDFBibTeX XMLCite \textit{A. Saadatmandi} and \textit{M. Dehghan}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 593--601 (2012; Zbl 1244.65114) Full Text: DOI
Shah, Rehan Ali; Islam, Saeed; Siddiqui, A. M.; Haroon, T. Wire coating analysis with Oldroyd 8-constant fluid by optimal homotopy asymptotic method. (English) Zbl 1238.76034 Comput. Math. Appl. 63, No. 3, 695-707 (2012). MSC: 76M25 76A10 74F10 PDFBibTeX XMLCite \textit{R. A. Shah} et al., Comput. Math. Appl. 63, No. 3, 695--707 (2012; Zbl 1238.76034) Full Text: DOI
Ali, Javed; Islam, S.; Khan, Hamid; Shah, Syed Inayat Ali The optimal homotopy asymptotic method for the solution of higher-order boundary value problems in finite domains. (English) Zbl 1252.65126 Abstr. Appl. Anal. 2012, Article ID 401217, 14 p. (2012). MSC: 65L10 34B15 PDFBibTeX XMLCite \textit{J. Ali} et al., Abstr. Appl. Anal. 2012, Article ID 401217, 14 p. (2012; Zbl 1252.65126) Full Text: DOI
Islam, S.; Bano, Z.; Siddique, I.; Siddiqui, A. M. The optimal solution for the flow of a fourth-grade fluid with partial slip. (English) Zbl 1217.76006 Comput. Math. Appl. 61, No. 6, 1507-1516 (2011). MSC: 76A05 65M99 PDFBibTeX XMLCite \textit{S. Islam} et al., Comput. Math. Appl. 61, No. 6, 1507--1516 (2011; Zbl 1217.76006) Full Text: DOI
Motsa, Sandile Sydney; Sibanda, Precious; Marewo, Gerald T.; Shateyi, Stanford A note on improved homotopy analysis method for solving the Jeffery-Hamel flow. (English) Zbl 1285.76030 Math. Probl. Eng. 2010, Article ID 359297, 11 p. (2010). MSC: 76M25 76W05 PDFBibTeX XMLCite \textit{S. S. Motsa} et al., Math. Probl. Eng. 2010, Article ID 359297, 11 p. (2010; Zbl 1285.76030) Full Text: DOI
Herişanu, N.; Marinca, V. Accurate analytical solutions to oscillators with discontinuities and fractional-power restoring force by means of the optimal homotopy asymptotic method. (English) Zbl 1202.34072 Comput. Math. Appl. 60, No. 6, 1607-1615 (2010). MSC: 34C15 34A45 65L99 PDFBibTeX XMLCite \textit{N. Herişanu} and \textit{V. Marinca}, Comput. Math. Appl. 60, No. 6, 1607--1615 (2010; Zbl 1202.34072) Full Text: DOI
Idrees, M.; Islam, S.; Haq, Sirajul; Siraj-ul-Islam Application of the optimal homotopy asymptotic method to squeezing flow. (English) Zbl 1198.76095 Comput. Math. Appl. 59, No. 12, 3858-3866 (2010); correction ibibd. 60, No. 9, 2724 (2010). MSC: 76M25 65L99 PDFBibTeX XMLCite \textit{M. Idrees} et al., Comput. Math. Appl. 59, No. 12, 3858--3866 (2010; Zbl 1198.76095) Full Text: DOI
Brickenstein, Michael Slimgb: Gröbner bases with slim polynomials. (English) Zbl 1200.13044 Rev. Mat. Complut. 23, No. 2, 453-466 (2010). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 13P10 PDFBibTeX XMLCite \textit{M. Brickenstein}, Rev. Mat. Complut. 23, No. 2, 453--466 (2010; Zbl 1200.13044) Full Text: DOI