Dehghan Banadaki, Mojtaba; Navidi, Hamidreza Numerical solution of open-loop Nash differential games based on the Legendre Tau method. (English) Zbl 07301439 Games 11, No. 3, Paper No. 28, 11 p. (2020). MSC: 91A23 91A10 91A05 49N70 PDF BibTeX XML Cite \textit{M. Dehghan Banadaki} and \textit{H. Navidi}, Games 11, No. 3, Paper No. 28, 11 p. (2020; Zbl 07301439) Full Text: DOI
Lu, Yanfei; Yin, Qingfei; Li, Hongyi; Sun, Hongli; Yang, Yunlei; Hou, Muzhou Solving higher order nonlinear ordinary differential equations with least squares support vector machines. (English) Zbl 07213094 J. Ind. Manag. Optim. 16, No. 3, 1481-1502 (2020). MSC: 65L 68W25 68T99 34A12 34B15 PDF BibTeX XML Cite \textit{Y. Lu} et al., J. Ind. Manag. Optim. 16, No. 3, 1481--1502 (2020; Zbl 07213094) Full Text: DOI
Hasanpour, Maryam; Behroozifar, Mahmoud; Tafakhori, Nazanin Numerical solution of fractional sine-Gordon equation using spectral method and homogenization. (English) Zbl 07168391 Int. J. Nonlinear Sci. Numer. Simul. 20, No. 7-8, 811-822 (2019). MSC: 97N50 26A33 35R11 35B27 PDF BibTeX XML Cite \textit{M. Hasanpour} et al., Int. J. Nonlinear Sci. Numer. Simul. 20, No. 7--8, 811--822 (2019; Zbl 07168391) Full Text: DOI
Elgindy, Kareem T. A high-order embedded domain method combining a predictor-corrector-Fourier-continuation-Gram method with an integral Fourier pseudospectral collocation method for solving linear partial differential equations in complex domains. (English) Zbl 1422.65426 J. Comput. Appl. Math. 361, 372-395 (2019). MSC: 65N35 65N85 PDF BibTeX XML Cite \textit{K. T. Elgindy}, J. Comput. Appl. Math. 361, 372--395 (2019; Zbl 1422.65426) 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 07062657 Adv. Difference Equ. 2019, Paper No. 195, 22 p. (2019). MSC: 39 34 PDF BibTeX XML Cite \textit{Y. Lu} et al., Adv. Difference Equ. 2019, Paper No. 195, 22 p. (2019; Zbl 07062657) Full Text: DOI
Chohan, Muhammad Ikhlaq; Shah, Kamal On a computational method for non-integer order partial differential equations in two dimensions. (English) Zbl 1424.65182 Eur. J. Pure Appl. Math. 12, No. 1, 39-57 (2019). MSC: 65M70 35R11 PDF BibTeX XML Cite \textit{M. I. Chohan} and \textit{K. Shah}, Eur. J. Pure Appl. Math. 12, No. 1, 39--57 (2019; Zbl 1424.65182) Full Text: Link
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 PDF BibTeX XML Cite \textit{L.-j. Xie} et al., Appl. Math. Comput. 321, 255--266 (2018; Zbl 1426.65103) Full Text: DOI
Shah, Kamal; Akram, Mohammad Numerical treatment of non-integer order partial differential equations by omitting discretization of data. (English) Zbl 1438.35440 Comput. Appl. Math. 37, No. 5, 6700-6718 (2018). MSC: 35R11 26A33 34A08 35B40 PDF BibTeX XML Cite \textit{K. Shah} and \textit{M. Akram}, Comput. Appl. Math. 37, No. 5, 6700--6718 (2018; Zbl 1438.35440) Full Text: DOI
Hafez, R. M.; Youssri, Y. H. Jacobi collocation scheme for variable-order fractional reaction-subdiffusion equation. (English) Zbl 1404.65195 Comput. Appl. Math. 37, No. 4, 5315-5333 (2018). MSC: 65M70 33C45 35R11 35K57 65M12 35K20 PDF BibTeX XML Cite \textit{R. M. Hafez} and \textit{Y. H. Youssri}, Comput. Appl. Math. 37, No. 4, 5315--5333 (2018; Zbl 1404.65195) Full Text: DOI
Hafez, Ramy M. Numerical solution of linear and nonlinear hyperbolic telegraph type equations with variable coefficients using shifted Jacobi collocation method. (English) Zbl 1404.65196 Comput. Appl. Math. 37, No. 4, 5253-5273 (2018). MSC: 65M70 35L20 33C45 35Q60 35Q79 PDF BibTeX XML Cite \textit{R. M. Hafez}, Comput. Appl. Math. 37, No. 4, 5253--5273 (2018; Zbl 1404.65196) Full Text: DOI
Nikooeinejad, Z.; Delavarkhalafi, A.; Heydari, M. Application of shifted Jacobi pseudospectral method for solving (in)finite-horizon min-max optimal control problems with uncertainty. (English) Zbl 1397.49035 Int. J. Control 91, No. 3, 725-739 (2018). MSC: 49K35 82C41 90C47 PDF BibTeX XML Cite \textit{Z. Nikooeinejad} et al., Int. J. Control 91, No. 3, 725--739 (2018; Zbl 1397.49035) 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 PDF BibTeX XML Cite \textit{B. Azarnavid} and \textit{K. Parand}, J. Comput. Appl. Math. 328, 151--163 (2018; Zbl 1375.65101) Full Text: DOI
Alrehaili, Dina Abdullah; Al-Maturi, Dalal Adnan; Al-Aidarous, Eman Salem; Ahmad, Fayyaz An eighth order frozen Jacobian iterative method for solving nonlinear IVPs and BVPs. (English) Zbl 1427.65072 J. Math. Comput. Sci., JMCS 17, No. 3, 378-399 (2017). MSC: 65H10 PDF BibTeX XML Cite \textit{D. A. Alrehaili} et al., J. Math. Comput. Sci., JMCS 17, No. 3, 378--399 (2017; Zbl 1427.65072) Full Text: DOI
Doha, Eid H.; Bhrawy, Ali H.; Hafez, Ramy M. Numerical algorithm for solving multi-pantograph delay equations on the half-line using Jacobi rational functions with convergence analysis. (English) Zbl 1371.65063 Acta Math. Appl. Sin., Engl. Ser. 33, No. 2, 297-310 (2017). MSC: 65L03 34K28 65L60 65L20 65L05 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Acta Math. Appl. Sin., Engl. Ser. 33, No. 2, 297--310 (2017; Zbl 1371.65063) Full Text: DOI
Ahmad, Fayyaz; Rehman, Shafiq Ur; Ullah, Malik Zaka; Aljahdali, Hani Moaiteq; Ahmad, Shahid; Alshomrani, Ali Saleh; Carrasco, Juan A.; Ahmad, Shamshad; Sivasankaran, Sivanandam Frozen Jacobian multistep iterative method for solving nonlinear IVPs and BVPs. (English) Zbl 1367.65077 Complexity 2017, Article ID 9407656, 30 p. (2017). MSC: 65H10 65M70 PDF BibTeX XML Cite \textit{F. Ahmad} et al., Complexity 2017, Article ID 9407656, 30 p. (2017; Zbl 1367.65077) Full Text: DOI
Qasim, Sabahat; Ali, Zulifqar; Ahmad, Fayyaz; Serra-Capizzano, S.; Ullah, Malik Zaka; Mahmood, Arshad Solving systems of nonlinear equations when the nonlinearity is expensive. (English) Zbl 1443.65074 Comput. Math. Appl. 71, No. 7, 1464-1478 (2016). MSC: 65H10 PDF BibTeX XML Cite \textit{S. Qasim} et al., Comput. Math. Appl. 71, No. 7, 1464--1478 (2016; Zbl 1443.65074) Full Text: DOI
Bhrawy, A. H.; Doha, E. H.; Abdelkawy, M. A.; Van Gorder, Robert A. Jacobi-Gauss-Lobatto collocation method for solving nonlinear reaction-diffusion equations subject to Dirichlet boundary conditions. (English) Zbl 1446.65124 Appl. Math. Modelling 40, No. 3, 1703-1716 (2016). MSC: 65M70 35K20 35K57 PDF BibTeX XML Cite \textit{A. H. Bhrawy} et al., Appl. Math. Modelling 40, No. 3, 1703--1716 (2016; Zbl 1446.65124) Full Text: DOI
Qasim, Uswah; Ali, Zulifqar; Ahmad, Fayyaz; Serra-Capizzano, Stefano; Zaka Ullah, Malik; Asma, Mir Constructing frozen Jacobian iterative methods for solving systems of nonlinear equations, associated with ODEs and PDEs using the homotopy method. (English) Zbl 07042327 Algorithms (Basel) 9, No. 1, Paper No. 18, 17 p. (2016). MSC: 65 93 PDF BibTeX XML Cite \textit{U. Qasim} et al., Algorithms (Basel) 9, No. 1, Paper No. 18, 17 p. (2016; Zbl 07042327) Full Text: DOI
Bhrawy, A. H.; Abdelkawy, M. A. Efficient spectral collocation algorithm for solving parabolic inverse problems. (English) Zbl 1359.65176 Int. J. Comput. Methods 13, No. 6, Article ID 1650036, 22 p. (2016). MSC: 65M32 65M70 PDF BibTeX XML Cite \textit{A. H. Bhrawy} and \textit{M. A. Abdelkawy}, Int. J. Comput. Methods 13, No. 6, Article ID 1650036, 22 p. (2016; Zbl 1359.65176) Full Text: DOI
Ahmad, Fayyaz; Tohidi, Emran; Carrasco, Juan A. A parameterized multi-step Newton method for solving systems of nonlinear equations. (English) Zbl 1350.65046 Numer. Algorithms 71, No. 3, 631-653 (2016). Reviewer: Przemysław Stpiczyński (Lublin) MSC: 65H10 65N22 PDF BibTeX XML Cite \textit{F. Ahmad} et al., Numer. Algorithms 71, No. 3, 631--653 (2016; Zbl 1350.65046) Full Text: DOI
Bhrawy, Ali H.; Hafez, Ramy M.; Alzaidy, Jameel F. A new exponential Jacobi pseudospectral method for solving high-order ordinary differential equations. (English) Zbl 1422.65135 Adv. Difference Equ. 2015, Paper No. 152, 15 p. (2015). MSC: 65L60 65L10 PDF BibTeX XML Cite \textit{A. H. Bhrawy} et al., Adv. Difference Equ. 2015, Paper No. 152, 15 p. (2015; Zbl 1422.65135) Full Text: DOI
Doha, E. H.; Bhrawy, A. H.; Abdelkawy, M. A.; Hafez, R. M. Numerical solution of initial-boundary system of nonlinear hyperbolic equations. (English) Zbl 1347.65157 Indian J. Pure Appl. Math. 46, No. 5, 647-668 (2015). MSC: 65M70 35L60 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Indian J. Pure Appl. Math. 46, No. 5, 647--668 (2015; Zbl 1347.65157) Full Text: DOI
Bhrawy, Ali H.; Abdelkawy, Mohamed A.; Mallawi, Fouad An accurate Chebyshev pseudospectral scheme for multi-dimensional parabolic problems with time delays. (English) Zbl 06580559 Bound. Value Probl. 2015, Paper No. 103, 20 p. (2015). MSC: 35 34 PDF BibTeX XML Cite \textit{A. H. Bhrawy} et al., Bound. Value Probl. 2015, Paper No. 103, 20 p. (2015; Zbl 06580559) Full Text: DOI
Bhrawy, A. H.; Doha, E. H.; Baleanu, D.; Hafez, R. M. A highly accurate Jacobi collocation algorithm for systems of high-order linear differential-difference equations with mixed initial conditions. (English) Zbl 1335.65065 Math. Methods Appl. Sci. 38, No. 14, 3022-3032 (2015). Reviewer: Ivan Secrieru (Chişinău) MSC: 65L60 65L50 34K28 34K06 65L03 65L05 PDF BibTeX XML Cite \textit{A. H. Bhrawy} et al., Math. Methods Appl. Sci. 38, No. 14, 3022--3032 (2015; Zbl 1335.65065) Full Text: DOI
Doha, Eid H.; Bhrawy, Ali H.; Hafez, Ramy M.; Van Gorder, Robert A. Jacobi rational-Gauss collocation method for Lane-Emden equations of astrophysical significance. (English) Zbl 1423.85007 Nonlinear Anal., Model. Control 19, No. 4, 537-550 (2014). MSC: 85A15 35Q85 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Nonlinear Anal., Model. Control 19, No. 4, 537--550 (2014; Zbl 1423.85007) Full Text: DOI
Bhrawy, Ali H.; AlZahrani, Abdulrahim; Baleanu, Dumitru; Alhamed, Yahia A modified generalized Laguerre-Gauss collocation method for fractional neutral functional-differential equations on the half-line. (English) Zbl 07022891 Abstr. Appl. Anal. 2014, Article ID 692193, 7 p. (2014). MSC: 65 26 PDF BibTeX XML Cite \textit{A. H. Bhrawy} et al., Abstr. Appl. Anal. 2014, Article ID 692193, 7 p. (2014; Zbl 07022891) Full Text: DOI
Bhrawy, A. H. A new Legendre collocation method for solving a two-dimensional fractional diffusion equation. (English) Zbl 07022794 Abstr. Appl. Anal. 2014, Article ID 636191, 10 p. (2014). MSC: 65 76 PDF BibTeX XML Cite \textit{A. H. Bhrawy}, Abstr. Appl. Anal. 2014, Article ID 636191, 10 p. (2014; Zbl 07022794) Full Text: DOI
Bhrawy, A. H.; Alofi, A. S.; Van Gorder, R. A. An efficient collocation method for a class of boundary value problems arising in mathematical physics and geometry. (English) Zbl 07022369 Abstr. Appl. Anal. 2014, Article ID 425648, 9 p. (2014). MSC: 65 41 PDF BibTeX XML Cite \textit{A. H. Bhrawy} et al., Abstr. Appl. Anal. 2014, Article ID 425648, 9 p. (2014; Zbl 07022369) Full Text: DOI
Zhang, Xuemei; Feng, Meiqiang Green’s function and positive solutions for a second-order singular boundary value problem with integral boundary conditions and a delayed argument. (English) Zbl 07022300 Abstr. Appl. Anal. 2014, Article ID 393187, 9 p. (2014). MSC: 34 45 PDF BibTeX XML Cite \textit{X. Zhang} and \textit{M. Feng}, Abstr. Appl. Anal. 2014, Article ID 393187, 9 p. (2014; Zbl 07022300) Full Text: DOI
Ma, Xiaohua; Huang, Chengming Spectral collocation method for linear fractional integro-differential equations. (English) Zbl 1427.65421 Appl. Math. Modelling 38, No. 4, 1434-1448 (2014). MSC: 65R20 34K37 45J05 65L60 PDF BibTeX XML Cite \textit{X. Ma} and \textit{C. Huang}, Appl. Math. Modelling 38, No. 4, 1434--1448 (2014; Zbl 1427.65421) Full Text: DOI
Bhrawy, A. H. An efficient Jacobi pseudospectral approximation for nonlinear complex generalized Zakharov system. (English) Zbl 1339.65188 Appl. Math. Comput. 247, 30-46 (2014). MSC: 65M70 35L70 35Q55 PDF BibTeX XML Cite \textit{A. H. Bhrawy}, Appl. Math. Comput. 247, 30--46 (2014; Zbl 1339.65188) 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 PDF BibTeX XML Cite \textit{S. Yu. Reutskiy}, Appl. Math. Comput. 243, 559--569 (2014; Zbl 1337.65112) Full Text: DOI
Bhrawy, Ali; Alhamed, Yahia; Baleanu, Dumitru; Al-Zahrani, Abdulrahim New spectral techniques for systems of fractional differential equations using fractional-order generalized Laguerre orthogonal functions. (English) Zbl 1312.65166 Fract. Calc. Appl. Anal. 17, No. 4, 1137-1157 (2014). MSC: 65M70 34A08 33C47 PDF BibTeX XML Cite \textit{A. Bhrawy} et al., Fract. Calc. Appl. Anal. 17, No. 4, 1137--1157 (2014; Zbl 1312.65166) Full Text: DOI
Bhrawy, A. H.; Alghamdi, M. A. A shifted Jacobi-Gauss collocation scheme for solving fractional neutral functional-differential equations. (English) Zbl 1302.65174 Adv. Math. Phys. 2014, Article ID 595848, 8 p. (2014). MSC: 65L60 65L03 34K37 PDF BibTeX XML Cite \textit{A. H. Bhrawy} and \textit{M. A. Alghamdi}, Adv. Math. Phys. 2014, Article ID 595848, 8 p. (2014; Zbl 1302.65174) Full Text: DOI
Doha, E. H.; Bhrawy, A. H.; Baleanu, D.; Hafez, R. M. A new Jacobi rational-Gauss collocation method for numerical solution of generalized pantograph equations. (English) Zbl 1302.65175 Appl. Numer. Math. 77, 43-54 (2014). MSC: 65L60 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Appl. Numer. Math. 77, 43--54 (2014; Zbl 1302.65175) Full Text: DOI
Doha, E. H.; Baleanu, D.; Bhrawy, A. H.; Abdelkawy, M. A. A Jacobi collocation method for solving nonlinear Burgers-type equations. (English) Zbl 07095338 Abstr. Appl. Anal. 2013, Article ID 760542, 12 p. (2013). MSC: 65 35 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Abstr. Appl. Anal. 2013, Article ID 760542, 12 p. (2013; Zbl 07095338) Full Text: DOI
Bhrawy, A. H.; Assas, L. M.; Alghamdi, M. A. Fast spectral collocation method for solving nonlinear time-delayed Burgers-type equations with positive power terms. (English) Zbl 07095315 Abstr. Appl. Anal. 2013, Article ID 741278, 12 p. (2013). MSC: 65 35 PDF BibTeX XML Cite \textit{A. H. Bhrawy} et al., Abstr. Appl. Anal. 2013, Article ID 741278, 12 p. (2013; Zbl 07095315) Full Text: DOI
Bhrawy, A. H.; Baleanu, D.; Assas, L. M.; Machado, J. A. Tenreiro On a generalized Laguerre operational matrix of fractional integration. (English) Zbl 1299.26010 Math. Probl. Eng. 2013, Article ID 569286, 7 p. (2013). MSC: 26A33 PDF BibTeX XML Cite \textit{A. H. Bhrawy} et al., Math. Probl. Eng. 2013, Article ID 569286, 7 p. (2013; Zbl 1299.26010) Full Text: DOI
Bhrawy, Ali H.; Assas, Laila M.; Alghamdi, Mohammed A. An efficient spectral collocation algorithm for nonlinear Phi-four equations. (English) Zbl 1295.65100 Bound. Value Probl. 2013, Paper No. 87, 16 p. (2013). MSC: 65M70 35G31 65M12 PDF BibTeX XML Cite \textit{A. H. Bhrawy} et al., Bound. Value Probl. 2013, Paper No. 87, 16 p. (2013; Zbl 1295.65100) Full Text: DOI
Abd-Elhameed, W. M.; Doha, E. H.; Youssri, Y. H. New wavelets collocation method for solving second-order multipoint boundary value problems using Chebyshev polynomials of third and fourth kinds. (English) Zbl 1291.65238 Abstr. Appl. Anal. 2013, Article ID 542839, 9 p. (2013). MSC: 65L60 65L10 PDF BibTeX XML Cite \textit{W. M. Abd-Elhameed} et al., Abstr. Appl. Anal. 2013, Article ID 542839, 9 p. (2013; Zbl 1291.65238) Full Text: DOI
Doha, E. H.; Bhrawy, A. H.; Baleanu, D.; Hafez, R. M. Efficient Jacobi-Gauss collocation method for solving initial value problems of Bratu type. (English) Zbl 1299.65244 Zh. Vychisl. Mat. Mat. Fiz. 53, No. 9, 1480-1480 (2013); translation in Comput. Math. Math. Phys. 53, No. 9, 1292-1302 (2013). MSC: 65M70 35K55 80A25 80A20 80M22 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Zh. Vychisl. Mat. Mat. Fiz. 53, No. 9, 1480--1480 (2013; Zbl 1299.65244); translation in Comput. Math. Math. Phys. 53, No. 9, 1292--1302 (2013) Full Text: DOI
Bhrawy, Ali H.; Alghamdi, Mohammed A. A shifted Jacobi-Gauss-Lobatto collocation method for solving nonlinear fractional Langevin equation involving two fractional orders in different intervals. (English) Zbl 1280.65079 Bound. Value Probl. 2012, Paper No. 62, 13 p. (2012). MSC: 65L60 34A08 34B10 34B15 PDF BibTeX XML Cite \textit{A. H. Bhrawy} and \textit{M. A. Alghamdi}, Bound. Value Probl. 2012, Paper No. 62, 13 p. (2012; Zbl 1280.65079) Full Text: DOI
Bhrawy, Ali H.; Al-Shomrani, M. M. A Jacobi dual-Petrov Galerkin-Jacobi collocation method for solving Korteweg-de Vries equations. (English) Zbl 1253.65158 Abstr. Appl. Anal. 2012, Article ID 418943, 16 p. (2012). MSC: 65M70 35Q53 PDF BibTeX XML Cite \textit{A. H. Bhrawy} and \textit{M. M. Al-Shomrani}, Abstr. Appl. Anal. 2012, Article ID 418943, 16 p. (2012; Zbl 1253.65158) Full Text: DOI
Bhrawy, A. H.; Alghamdi, M. A. Numerical solutions of odd order linear and nonlinear initial value problems using a shifted Jacobi spectral approximations. (English) Zbl 1253.65157 Abstr. Appl. Anal. 2012, Article ID 364360, 25 p. (2012). MSC: 65M70 PDF BibTeX XML Cite \textit{A. H. Bhrawy} and \textit{M. A. Alghamdi}, Abstr. Appl. Anal. 2012, Article ID 364360, 25 p. (2012; Zbl 1253.65157) Full Text: DOI