Hassan, Sattar M.; Harfash, Akil J. Finite element analysis of chemotaxis-growth model with indirect attractant production and logistic source. (English) Zbl 1524.65544 Int. J. Comput. Math. 100, No. 4, 745-774 (2023). MSC: 65M60 65H20 92C17 65M12 65M15 65M06 65N30 35Q92 PDFBibTeX XMLCite \textit{S. M. Hassan} and \textit{A. J. Harfash}, Int. J. Comput. Math. 100, No. 4, 745--774 (2023; Zbl 1524.65544) Full Text: DOI
Roul, Pradip A fast and accurate computational technique for efficient numerical solution of nonlinear singular boundary value problems. (English) Zbl 1513.65237 Int. J. Comput. Math. 96, No. 1, 51-72 (2019). MSC: 65L10 34B05 34B15 34B16 PDFBibTeX XMLCite \textit{P. Roul}, Int. J. Comput. Math. 96, No. 1, 51--72 (2019; Zbl 1513.65237) Full Text: DOI
Siddiqui, Mohd. Junaid; Arora, Rajan; Singh, V. P. Propagation of non-linear waves in a non-ideal relaxing gas. (English) Zbl 1499.76092 Int. J. Comput. Math. 95, No. 11, 2330-2342 (2018). MSC: 76N15 35L60 PDFBibTeX XMLCite \textit{Mohd. J. Siddiqui} et al., Int. J. Comput. Math. 95, No. 11, 2330--2342 (2018; Zbl 1499.76092) Full Text: DOI
Samaee, S. S.; Yazdanpanah, O.; Ganji, D. D.; Mofidi, A. A. Analytical solution for a suspension bridge by applying HPM and VIM. (English) Zbl 1325.74123 Int. J. Comput. Math. 92, No. 4, 782-801 (2015). MSC: 74Q10 74K10 44A10 74H45 PDFBibTeX XMLCite \textit{S. S. Samaee} et al., Int. J. Comput. Math. 92, No. 4, 782--801 (2015; Zbl 1325.74123) Full Text: DOI
Zurigat, Mohammad; Momani, Shaher; Alawneh, Ahmad The multistage homotopy analysis method: application to a biochemical reaction model of fractional order. (English) Zbl 1305.34026 Int. J. Comput. Math. 91, No. 5, 1030-1040 (2014). MSC: 34A45 34A08 34C60 34A12 34A25 92C45 PDFBibTeX XMLCite \textit{M. Zurigat} et al., Int. J. Comput. Math. 91, No. 5, 1030--1040 (2014; Zbl 1305.34026) Full Text: DOI
Ghanbari, Behzad; Rada, Lavdie; Chen, Ke A restarted iterative homotopy analysis method for two nonlinear models from image processing. (English) Zbl 06330234 Int. J. Comput. Math. 91, No. 3, 661-687 (2014). MSC: 62H35 65N22 68U10 35A15 65C20 74G65 74G75 35C10 PDFBibTeX XMLCite \textit{B. Ghanbari} et al., Int. J. Comput. Math. 91, No. 3, 661--687 (2014; Zbl 06330234) Full Text: DOI
Ariel, P. Donald; Syam, Mohammed I.; Al-Mdallal, Qasem M. The extended homotopy perturbation method for the boundary layer flow due to a stretching sheet with partial slip. (English) Zbl 1291.65225 Int. J. Comput. Math. 90, No. 9, 1990-2002 (2013). MSC: 65L07 65L10 65L20 65T99 34L30 PDFBibTeX XMLCite \textit{P. D. Ariel} et al., Int. J. Comput. Math. 90, No. 9, 1990--2002 (2013; Zbl 1291.65225) Full Text: DOI
Al-Mdallal, Qasem M.; Syam, Muhammed I.; Ariel, P. Donald The extended homotopy perturbation method and boundary layer flow due to condensation and natural convection on a porous vertical plate. (English) Zbl 1381.76251 Int. J. Comput. Math. 88, No. 16, 3535-3552 (2011). MSC: 76M25 76S05 65L99 PDFBibTeX XMLCite \textit{Q. M. Al-Mdallal} et al., Int. J. Comput. Math. 88, No. 16, 3535--3552 (2011; Zbl 1381.76251) Full Text: DOI
Chen, Ruyun; Liang, Ximing Asymptotic expansions for the Bessel transformations with high oscillations by using the homotopy technique. (English) Zbl 1242.65043 Int. J. Comput. Math. 88, No. 13, 2872-2887 (2011). MSC: 65D20 65T40 65D32 65D30 33E20 33F05 33C10 PDFBibTeX XMLCite \textit{R. Chen} and \textit{X. Liang}, Int. J. Comput. Math. 88, No. 13, 2872--2887 (2011; Zbl 1242.65043) Full Text: DOI
Abbasbandy, S. Approximate analytical solutions to thermo-poroelastic equations by means of the iterated homotopy analysis method. (English) Zbl 1331.74178 Int. J. Comput. Math. 88, No. 8, 1763-1775 (2011). MSC: 74S30 65M99 74F05 74H10 80M25 PDFBibTeX XMLCite \textit{S. Abbasbandy}, Int. J. Comput. Math. 88, No. 8, 1763--1775 (2011; Zbl 1331.74178) Full Text: DOI
Das, S.; Gupta, P. K. Homotopy analysis method for solving fractional hyperbolic partial differential equations. (English) Zbl 1211.65133 Int. J. Comput. Math. 88, No. 3, 578-588 (2011). MSC: 65M70 35L15 35R11 PDFBibTeX XMLCite \textit{S. Das} and \textit{P. K. Gupta}, Int. J. Comput. Math. 88, No. 3, 578--588 (2011; Zbl 1211.65133) Full Text: DOI
Mehrabinezhad, M.; Saberi-Nadjafi, J. Application of He’s homotopy perturbation method to linear programming problems. (English) Zbl 1211.65074 Int. J. Comput. Math. 88, No. 2, 341-347 (2011). MSC: 65K05 90C05 PDFBibTeX XMLCite \textit{M. Mehrabinezhad} and \textit{J. Saberi-Nadjafi}, Int. J. Comput. Math. 88, No. 2, 341--347 (2011; Zbl 1211.65074) Full Text: DOI
Abbasbandy, S.; López, J. L.; López-Ruiz, R. The homotopy analysis method and the Liénard equation. (English) Zbl 1211.65088 Int. J. Comput. Math. 88, No. 1, 121-134 (2011). MSC: 65L05 65L60 34M10 34C07 PDFBibTeX XMLCite \textit{S. Abbasbandy} et al., Int. J. Comput. Math. 88, No. 1, 121--134 (2011; Zbl 1211.65088) Full Text: DOI arXiv
Wang, Sha; Yu, Yongguang; Diao, Miao Application of multistage homotopy-perturbation method in hybrid synchronization of chaotic systems. (English) Zbl 1206.65256 Int. J. Comput. Math. 87, No. 13, 3007-3016 (2010). MSC: 65P20 37D45 65L06 PDFBibTeX XMLCite \textit{S. Wang} et al., Int. J. Comput. Math. 87, No. 13, 3007--3016 (2010; Zbl 1206.65256) Full Text: DOI
Yıldırım, Ahmet He’s homotopy perturbation method for solving the space- and time-fractional telegraph equations. (English) Zbl 1206.65239 Int. J. Comput. Math. 87, No. 13, 2998-3006 (2010); correction ibid. 98, No. 5, 1070 (2021). MSC: 65M70 35R11 35L20 PDFBibTeX XMLCite \textit{A. Yıldırım}, Int. J. Comput. Math. 87, No. 13, 2998--3006 (2010; Zbl 1206.65239) Full Text: DOI
Al-Mdallal, Qasem M. On the numerical solution of fractional Sturm-Liouville problems. (English) Zbl 1202.65100 Int. J. Comput. Math. 87, No. 12, 2837-2845 (2010). MSC: 65L15 34L16 34A08 26A33 PDFBibTeX XMLCite \textit{Q. M. Al-Mdallal}, Int. J. Comput. Math. 87, No. 12, 2837--2845 (2010; Zbl 1202.65100) Full Text: DOI
Chen, Aiyong; Jiang, Guirong Periodic solution of the Duffing-Van der Pol oscillator by homotopy perturbation method. (English) Zbl 1337.65109 Int. J. Comput. Math. 87, No. 12, 2688-2696 (2010). MSC: 65L99 34C15 34C25 PDFBibTeX XMLCite \textit{A. Chen} and \textit{G. Jiang}, Int. J. Comput. Math. 87, No. 12, 2688--2696 (2010; Zbl 1337.65109) Full Text: DOI
Sakthivel, Rathinasamy; Chun, Changbum; Bae, A-Reum A general approach to hyperbolic partial differential equations by homotopy perturbation method. (English) Zbl 1203.35060 Int. J. Comput. Math. 87, No. 11, 2601-2606 (2010). MSC: 35C05 35L15 35A25 PDFBibTeX XMLCite \textit{R. Sakthivel} et al., Int. J. Comput. Math. 87, No. 11, 2601--2606 (2010; Zbl 1203.35060) Full Text: DOI
Jafari, H.; Saeidy, M.; Zabihi, M. Application of homotopy perturbation method to multidimensional partial differential equations. (English) Zbl 1202.65152 Int. J. Comput. Math. 87, No. 11, 2444-2449 (2010). MSC: 65N22 35C10 35J05 PDFBibTeX XMLCite \textit{H. Jafari} et al., Int. J. Comput. Math. 87, No. 11, 2444--2449 (2010; Zbl 1202.65152) Full Text: DOI
Abbasbandy, S.; Parkes, E. J. Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis method. (English) Zbl 1202.65125 Int. J. Comput. Math. 87, No. 10, 2303-2313 (2010). MSC: 65M70 35C10 35Q53 PDFBibTeX XMLCite \textit{S. Abbasbandy} and \textit{E. J. Parkes}, Int. J. Comput. Math. 87, No. 10, 2303--2313 (2010; Zbl 1202.65125) Full Text: DOI
Geng, Fazhan; Cui, Minggen Solving singular nonlinear boundary value problems by combining the homotopy perturbation method and reproducing kernel Hilbert space method. (English) Zbl 1197.65092 Int. J. Comput. Math. 87, No. 9, 2024-2031 (2010). MSC: 65L10 34B16 46E22 PDFBibTeX XMLCite \textit{F. Geng} and \textit{M. Cui}, Int. J. Comput. Math. 87, No. 9, 2024--2031 (2010; Zbl 1197.65092) Full Text: DOI
Soltanian, F.; Dehghan, Mehdi; Karbassi, S. M. Solution of the differential algebraic equations via homotopy perturbation method and their engineering applications. (English) Zbl 1197.65101 Int. J. Comput. Math. 87, No. 9, 1950-1974 (2010). MSC: 65L80 65L05 65L20 PDFBibTeX XMLCite \textit{F. Soltanian} et al., Int. J. Comput. Math. 87, No. 9, 1950--1974 (2010; Zbl 1197.65101) Full Text: DOI
Safari, M.; Ganji, D. D.; Sadeghi, E. M. M. Application of He’s homotopy perturbation and He’s variational iteration methods for solution of Benney-Lin equation. (English) Zbl 1197.65158 Int. J. Comput. Math. 87, No. 8, 1872-1884 (2010). MSC: 65M70 35K45 35K55 PDFBibTeX XMLCite \textit{M. Safari} et al., Int. J. Comput. Math. 87, No. 8, 1872--1884 (2010; Zbl 1197.65158) Full Text: DOI
Ağırseven, Deniz; Öziş, Turgut He’s homotopy perturbation method for fourth-order parabolic equations. (English) Zbl 1197.65141 Int. J. Comput. Math. 87, No. 7, 1555-1568 (2010). MSC: 65M70 35K35 PDFBibTeX XMLCite \textit{D. Ağırseven} and \textit{T. Öziş}, Int. J. Comput. Math. 87, No. 7, 1555--1568 (2010; Zbl 1197.65141) Full Text: DOI
Alawneh, Ameen; Al-Khaled, Kamel; Al-Towaiq, Mohammed Reliable algorithms for solving integro-differential equations with applications. (English) Zbl 1197.65217 Int. J. Comput. Math. 87, No. 7, 1538-1554 (2010). MSC: 65R20 45J05 PDFBibTeX XMLCite \textit{A. Alawneh} et al., Int. J. Comput. Math. 87, No. 7, 1538--1554 (2010; Zbl 1197.65217) Full Text: DOI
Aminikhah, Hossein; Salahi, Maziar A new homotopy perturbation method for system of nonlinear integro-differential equations. (English) Zbl 1192.65156 Int. J. Comput. Math. 87, No. 5, 1186-1194 (2010). MSC: 65R20 45J05 45G15 PDFBibTeX XMLCite \textit{H. Aminikhah} and \textit{M. Salahi}, Int. J. Comput. Math. 87, No. 5, 1186--1194 (2010; Zbl 1192.65156) Full Text: DOI
Leung, A. Y. T.; Guo, Z.; Fung, T. C. The multi-parameter homotopy harmonic balance method for steady state problems. (English) Zbl 1191.65086 Int. J. Comput. Math. 87, No. 5, 1158-1177 (2010). MSC: 65L05 65H20 34A34 65P20 65P30 37G10 PDFBibTeX XMLCite \textit{A. Y. T. Leung} et al., Int. J. Comput. Math. 87, No. 5, 1158--1177 (2010; Zbl 1191.65086) Full Text: DOI
Aminikhah, Hossein; Biazar, Jafar A new analytical method for solving systems of Volterra integral equations. (English) Zbl 1197.65218 Int. J. Comput. Math. 87, No. 5, 1142-1157 (2010). Reviewer: Neville Ford (Chester) MSC: 65R20 45D05 45G15 PDFBibTeX XMLCite \textit{H. Aminikhah} and \textit{J. Biazar}, Int. J. Comput. Math. 87, No. 5, 1142--1157 (2010; Zbl 1197.65218) Full Text: DOI
Yıldırım, Ahmet; Momani, Shaher Series solutions of a fractional oscillator by means of the homotopy perturbation method. (English) Zbl 1191.65089 Int. J. Comput. Math. 87, No. 5, 1072-1082 (2010). MSC: 65L05 34A08 PDFBibTeX XMLCite \textit{A. Yıldırım} and \textit{S. Momani}, Int. J. Comput. Math. 87, No. 5, 1072--1082 (2010; Zbl 1191.65089) Full Text: DOI
Momani, Shaher; Yıldırım, Ahmet Analytical approximate solutions of the fractional convection-diffusion equation with nonlinear source term by He’s homotopy perturbation method. (English) Zbl 1192.65137 Int. J. Comput. Math. 87, No. 5, 1057-1065 (2010); correction ibid. 98, No. 6, 1291 (2021). MSC: 65M70 26A33 35R11 35K55 35C10 PDFBibTeX XMLCite \textit{S. Momani} and \textit{A. Yıldırım}, Int. J. Comput. Math. 87, No. 5, 1057--1065 (2010; Zbl 1192.65137) Full Text: DOI
Geng, Fazhan; Cui, Minggen Multi-point boundary value problem for optimal bridge design. (English) Zbl 1192.65109 Int. J. Comput. Math. 87, No. 5, 1051-1056 (2010). MSC: 65L10 34B10 34B15 PDFBibTeX XMLCite \textit{F. Geng} and \textit{M. Cui}, Int. J. Comput. Math. 87, No. 5, 1051--1056 (2010; Zbl 1192.65109) Full Text: DOI
Yıldırım, Ahmet He’s homotopy perturbation method for nonlinear differential-difference equations. (English) Zbl 1192.65102 Int. J. Comput. Math. 87, No. 5, 992-996 (2010); correction ibid. 98, No. 5, 1069 (2021). MSC: 65L05 65L03 34K28 PDFBibTeX XMLCite \textit{A. Yıldırım}, Int. J. Comput. Math. 87, No. 5, 992--996 (2010; Zbl 1192.65102) Full Text: DOI
Berciano-Alcaraz, Ainhoa A computational approach of \(A_{\infty }\)-(co)algebras. (English) Zbl 1204.55015 Int. J. Comput. Math. 87, No. 4, 935-953 (2010). Reviewer: Daciberg Gonçalves (São Paulo) MSC: 55U15 55P48 18G35 18D50 55P43 68W30 55-04 55U05 PDFBibTeX XMLCite \textit{A. Berciano-Alcaraz}, Int. J. Comput. Math. 87, No. 4, 935--953 (2010; Zbl 1204.55015) Full Text: DOI
Darvishi, M. T.; Khani, F.; Hamedi-Nezhad, S.; Ryu, Sang-Wan New modification of the HPM for numerical solutions of the sine-Gordon and coupled sine-Gordon equations. (English) Zbl 1192.65132 Int. J. Comput. Math. 87, No. 4, 908-919 (2010). MSC: 65M70 35L70 PDFBibTeX XMLCite \textit{M. T. Darvishi} et al., Int. J. Comput. Math. 87, No. 4, 908--919 (2010; Zbl 1192.65132) Full Text: DOI
Chowdhury, M. S. H.; Hashim, I. Direct solutions of \(n\)th-order IVPs by homotopy-perturbation method. (English) Zbl 1192.65091 Int. J. Comput. Math. 87, No. 4, 756-762 (2010). MSC: 65L05 34A34 PDFBibTeX XMLCite \textit{M. S. H. Chowdhury} and \textit{I. Hashim}, Int. J. Comput. Math. 87, No. 4, 756--762 (2010; Zbl 1192.65091) Full Text: DOI
Noor, Muhammad Aslam Some iterative methods for solving nonlinear equations using homotopy perturbation method. (English) Zbl 1182.65079 Int. J. Comput. Math. 87, No. 1, 141-149 (2010). MSC: 65H05 PDFBibTeX XMLCite \textit{M. A. Noor}, Int. J. Comput. Math. 87, No. 1, 141--149 (2010; Zbl 1182.65079) Full Text: DOI
Odibat, Zaid M. On the approximation of integrals using homotopy perturbation method. (English) Zbl 1182.65047 Int. J. Comput. Math. 87, No. 1, 53-62 (2010). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{Z. M. Odibat}, Int. J. Comput. Math. 87, No. 1, 53--62 (2010; Zbl 1182.65047) Full Text: DOI
Ariel, P. Donald Computation of MHD flow due to moving boundaries. (English) Zbl 1400.76098 Int. J. Comput. Math. 86, No. 12, 2165-2180 (2009). MSC: 76W05 76M25 PDFBibTeX XMLCite \textit{P. D. Ariel}, Int. J. Comput. Math. 86, No. 12, 2165--2180 (2009; Zbl 1400.76098) Full Text: DOI
Xie, Huiqing; Dai, Hua Calculation of derivatives of multiple eigenpairs of unsymmetrical quadratic eigenvalue problems. (English) Zbl 1158.65026 Int. J. Comput. Math. 85, No. 12, 1815-1831 (2008). Reviewer: R. Militaru (Craiova) MSC: 65F15 65H20 PDFBibTeX XMLCite \textit{H. Xie} and \textit{H. Dai}, Int. J. Comput. Math. 85, No. 12, 1815--1831 (2008; Zbl 1158.65026) Full Text: DOI
Birgin, E. G.; Krejić, N.; Martínez, J. M. Solution of bounded nonlinear systems of equations using homotopies with inexact restoration. (English) Zbl 1021.65025 Int. J. Comput. Math. 80, No. 2, 211-222 (2003). MSC: 65H10 65H20 80A30 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., Int. J. Comput. Math. 80, No. 2, 211--222 (2003; Zbl 1021.65025) Full Text: DOI
Elgindi, M. B.; Kharab, A. The quadratic method for computing the eigenpairs of a matrix. (English) Zbl 0967.65048 Int. J. Comput. Math. 73, No. 4, 517-530 (2000). Reviewer: F.Szidarovszky (Tucson) MSC: 65F15 65Y05 65H20 PDFBibTeX XMLCite \textit{M. B. Elgindi} and \textit{A. Kharab}, Int. J. Comput. Math. 73, No. 4, 517--530 (2000; Zbl 0967.65048) Full Text: DOI
Ezquerro, J. A.; Gutiérrez, J. M.; Hernández, M. A. Solving a nonlinear equation by a uniparametric family of iterative processes. (English) Zbl 0908.65030 Int. J. Comput. Math. 68, No. 3-4, 301-308 (1998). Reviewer: A.Swift (Palmerston North) MSC: 65H05 65H20 PDFBibTeX XMLCite \textit{J. A. Ezquerro} et al., Int. J. Comput. Math. 68, No. 3--4, 301--308 (1998; Zbl 0908.65030) Full Text: DOI
Attili, Basem S. On the use of predictor-corrector continuation to trace implicitly defined curves and calculating bifurcation. (English) Zbl 0890.65048 Int. J. Comput. Math. 65, No. 1-2, 149-159 (1997). Reviewer: Xu Chengxian (Xian) MSC: 65H10 65H20 PDFBibTeX XMLCite \textit{B. S. Attili}, Int. J. Comput. Math. 65, No. 1--2, 149--159 (1997; Zbl 0890.65048) Full Text: DOI
Chang, Dawei The multisplitting PSD (MPSD) method for systems of weakly nonlinear equations. (English) Zbl 0890.65049 Int. J. Comput. Math. 65, No. 3-4, 247-262 (1997). Reviewer: Xu Chengxian (Xian) MSC: 65H10 65H20 PDFBibTeX XMLCite \textit{D. Chang}, Int. J. Comput. Math. 65, No. 3--4, 247--262 (1997; Zbl 0890.65049) Full Text: DOI
Wang, Deren; Bai, Zhongzhi; Evans, D. J. Asynchronous multisplitting relaxed iterations for weakly nonlinear systems. (English) Zbl 0828.65051 Int. J. Comput. Math. 54, No. 1-2, 57-76 (1994). MSC: 65H10 65H20 65Y05 PDFBibTeX XMLCite \textit{D. Wang} et al., Int. J. Comput. Math. 54, No. 1--2, 57--76 (1994; Zbl 0828.65051) Full Text: DOI
Nakos, George; Glinos, Nikolaos Computer algebra and desuspensions of stunted real projective spaces. (English) Zbl 0757.55012 Int. J. Comput. Math. 43, No. 1-2, 11-20 (1992). Reviewer: A.Kondrat’ev (Kiev) MSC: 55P99 68W30 PDFBibTeX XMLCite \textit{G. Nakos} and \textit{N. Glinos}, Int. J. Comput. Math. 43, No. 1--2, 11--20 (1992; Zbl 0757.55012) Full Text: DOI
Glinos, Nikolaos; Nakos, George An application of computer algebra to algebraic topology. (English) Zbl 0699.68051 Int. J. Comput. Math. 34, No. 1-2, 33-41 (1990). MSC: 68W30 68R99 55N20 55Q45 PDFBibTeX XMLCite \textit{N. Glinos} and \textit{G. Nakos}, Int. J. Comput. Math. 34, No. 1--2, 33--41 (1990; Zbl 0699.68051) Full Text: DOI
Allison, D. C. S.; Harimoto, S.; Watson, L. T. The granularity of parallel homotopy algorithms for polynomial systems of equations. (English) Zbl 0683.65038 Int. J. Comput. Math. 29, No. 1, 21-37 (1989). Reviewer: E.Allgower MSC: 65H10 65Y05 PDFBibTeX XMLCite \textit{D. C. S. Allison} et al., Int. J. Comput. Math. 29, No. 1, 21--37 (1989; Zbl 0683.65038) Full Text: DOI Link