Zayed, Elsayed M. E.; El-Ganaini, Shoukry Comment on: “Analytical and semi-analytical solutions for time-fractional Cahn-Allen equation”. (English) Zbl 07822444 Math. Methods Appl. Sci. 47, No. 1, 562-564 (2024). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{E. M. E. Zayed} and \textit{S. El-Ganaini}, Math. Methods Appl. Sci. 47, No. 1, 562--564 (2024; Zbl 07822444) Full Text: DOI
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
Khater, Mostafa M. A.; Almohsen, Bandar; Baleanu, Dumitru; Inc, Mustafa Numerical simulations for the predator-prey model as a prototype of an excitable system. (English) Zbl 07798405 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22708, 25 p. (2024). MSC: 65P30 65D07 41A15 92D25 PDFBibTeX XMLCite \textit{M. M. A. Khater} et al., Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22708, 25 p. (2024; Zbl 07798405) Full Text: DOI
Khater, Mostafa M. A.; Hamed, Y. S.; Lu, Dianchen On rigorous computational and numerical solutions for the voltages of the electrified transmission range with the day yet distance. (English) Zbl 07798403 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22700, 19 p. (2024). MSC: 65R20 26A33 PDFBibTeX XMLCite \textit{M. M. A. Khater} et al., Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22700, 19 p. (2024; Zbl 07798403) Full Text: DOI
Wongsaijai, Ben; Aydemir, Tuğba; Ak, Turgut; Dhawan, Sharanjeet Analytical and numerical techniques for initial-boundary value problems of Kolmogorov-Petrovsky-Piskunov equation. (English) Zbl 07798398 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22693, 35 p. (2024). MSC: 65L12 PDFBibTeX XMLCite \textit{B. Wongsaijai} et al., Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22693, 35 p. (2024; Zbl 07798398) Full Text: DOI
Kumar, Sunil; Shaw, Pawan Kumar; Abdel-Aty, Abdel-Haleem; Mahmoud, Emad E. A numerical study on fractional differential equation with population growth model. (English) Zbl 07798392 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22684, 43 p. (2024). MSC: 65L05 92D25 26A33 PDFBibTeX XMLCite \textit{S. Kumar} et al., Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22684, 43 p. (2024; Zbl 07798392) Full Text: DOI
Khater, Mostafa M. A. Hybrid accurate simulations for constructing some novel analytical and numerical solutions of three-order GNLS equation. (English) Zbl 07793955 Int. J. Geom. Methods Mod. Phys. 20, No. 9, Article ID 2350159, 22 p. (2023). MSC: 35Q55 35Q41 78A60 35C08 35C07 35B35 35A20 37K40 65D07 PDFBibTeX XMLCite \textit{M. M. A. Khater}, Int. J. Geom. Methods Mod. Phys. 20, No. 9, Article ID 2350159, 22 p. (2023; Zbl 07793955) Full Text: DOI
Rehman, Hamood Ur; Ullah, Naeem; Asjad, Muhammad Imran; Akgül, Ali Exact solutions of convective-diffusive Cahn-Hilliard equation using extended direct algebraic method. (English) Zbl 07769128 Numer. Methods Partial Differ. Equations 39, No. 6, 4517-4532 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{H. U. Rehman} et al., Numer. Methods Partial Differ. Equations 39, No. 6, 4517--4532 (2023; Zbl 07769128) Full Text: DOI
Zhou, Yue; Xu, Hang Accurate coiflet wavelet solution of extended \((2+1)\)-dimensional Kadomtsev-Petviashvili equation using the novel wavelet-homotopy analysis approach. (English) Zbl 07733062 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107393, 20 p. (2023). MSC: 65-XX 35-XX 93-XX 34-XX 76-XX PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{H. Xu}, Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107393, 20 p. (2023; Zbl 07733062) Full Text: DOI
Shi, Chengxin; Cheng, Hao Identify the Robin coefficient in an inhomogeneous time-fractional diffusion-wave equation. (English) Zbl 1518.35686 J. Comput. Appl. Math. 434, Article ID 115337, 12 p. (2023). MSC: 35R30 35R11 65M32 PDFBibTeX XMLCite \textit{C. Shi} and \textit{H. Cheng}, J. Comput. Appl. Math. 434, Article ID 115337, 12 p. (2023; Zbl 1518.35686) Full Text: DOI
Sagar, B.; Saha Ray, S. A localized meshfree technique for solving fractional Benjamin-Ono equation describing long internal waves in deep stratified fluids. (English) Zbl 07693652 Commun. Nonlinear Sci. Numer. Simul. 123, Article ID 107287, 17 p. (2023). MSC: 65-XX 35G31 35R11 65D12 PDFBibTeX XMLCite \textit{B. Sagar} and \textit{S. Saha Ray}, Commun. Nonlinear Sci. Numer. Simul. 123, Article ID 107287, 17 p. (2023; Zbl 07693652) Full Text: DOI
Khater, Mostafa M. A. On the dynamics of strong Langmuir turbulence through the five recent numerical schemes in the plasma physics. (English) Zbl 07777110 Numer. Methods Partial Differ. Equations 38, No. 3, 719-728 (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. M. A. Khater}, Numer. Methods Partial Differ. Equations 38, No. 3, 719--728 (2022; Zbl 07777110) Full Text: DOI
Singh, Harendra Jacobi collocation method for the fractional advection-dispersion equation arising in porous media. (English) Zbl 07777106 Numer. Methods Partial Differ. Equations 38, No. 3, 636-653 (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{H. Singh}, Numer. Methods Partial Differ. Equations 38, No. 3, 636--653 (2022; Zbl 07777106) Full Text: DOI
Dehestani, Haniye; Ordokhani, Yadollah Modification of numerical algorithm for space-time fractional partial differential equations including two types of fractional derivatives. (English) Zbl 1513.35518 Int. J. Comput. Math. 99, No. 11, 2308-2326 (2022). MSC: 35R11 26A33 65M70 PDFBibTeX XMLCite \textit{H. Dehestani} and \textit{Y. Ordokhani}, Int. J. Comput. Math. 99, No. 11, 2308--2326 (2022; Zbl 1513.35518) Full Text: DOI
Jena, Saumya Ranjan; Gebremedhin, Guesh Simretab Octic B-spline collocation scheme for numerical investigation of fifth order boundary value problems. (English) Zbl 1513.65482 Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 241, 19 p. (2022). MSC: 65N35 65D07 65L10 65L20 PDFBibTeX XMLCite \textit{S. R. Jena} and \textit{G. S. Gebremedhin}, Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 241, 19 p. (2022; Zbl 1513.65482) Full Text: DOI
Wang, Fuzhang; Hou, Enran; Salama, Samir A.; Khater, Mostafa M. A. Numerical investigation of the nonlinear fractional Ostrovsky equation. (English) Zbl 1504.35388 Fractals 30, No. 5, Article ID 2240142, 9 p. (2022). MSC: 35Q35 76B15 76F10 76F65 76X05 78A60 82D10 35C08 35C07 65D07 65N99 26A33 35R11 35R10 PDFBibTeX XMLCite \textit{F. Wang} et al., Fractals 30, No. 5, Article ID 2240142, 9 p. (2022; Zbl 1504.35388) Full Text: DOI
Hou, Enran; Wang, Fuzhang; Salama, Samir A.; Khater, Mostafa M. A. On analytical and numerical simulations for the ultra-short pulses mathematical model in optical fibers. (English) Zbl 07578001 Fractals 30, No. 5, Article ID 2240141, 15 p. (2022). MSC: 65Lxx 35Cxx 35Qxx PDFBibTeX XMLCite \textit{E. Hou} et al., Fractals 30, No. 5, Article ID 2240141, 15 p. (2022; Zbl 07578001) Full Text: DOI
Hou, Enran; Wang, Fuzhang; Salama, Samir A.; Khater, Mostafa M. A. Dynamical behavior of the long waves in the nonlinear dispersive media through analytical and numerical investigation. (English) Zbl 1504.35444 Fractals 30, No. 5, Article ID 2240131, 24 p. (2022). MSC: 35Q53 37K40 35C08 78A60 65N99 65N15 PDFBibTeX XMLCite \textit{E. Hou} et al., Fractals 30, No. 5, Article ID 2240131, 24 p. (2022; Zbl 1504.35444) Full Text: DOI
Poochinapan, Kanyuta; Wongsaijai, Ben Numerical analysis for solving Allen-Cahn equation in 1D and 2D based on higher-order compact structure-preserving difference scheme. (English) Zbl 1510.65204 Appl. Math. Comput. 434, Article ID 127374, 26 p. (2022). MSC: 65M06 35K57 65M12 PDFBibTeX XMLCite \textit{K. Poochinapan} and \textit{B. Wongsaijai}, Appl. Math. Comput. 434, Article ID 127374, 26 p. (2022; Zbl 1510.65204) Full Text: DOI
Kaur, Navneet; Joshi, Varun Soliton solution of coupled Korteweg-de Vries equation by quintic UAH tension B-spline differential quadrature method. (English) Zbl 1504.35448 J. Math. Anal. Appl. 514, No. 2, Article ID 126355, 30 p. (2022). MSC: 35Q53 35C08 76B25 35A24 35D30 37K10 65D07 65L06 65M15 PDFBibTeX XMLCite \textit{N. Kaur} and \textit{V. Joshi}, J. Math. Anal. Appl. 514, No. 2, Article ID 126355, 30 p. (2022; Zbl 1504.35448) Full Text: DOI
Karamollahi, Nasibeh; Heydari, Mohammad; Loghmani, Ghasem Barid An interpolation-based method for solving Volterra integral equations. (English) Zbl 1490.65317 J. Appl. Math. Comput. 68, No. 2, 909-940 (2022). MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{N. Karamollahi} et al., J. Appl. Math. Comput. 68, No. 2, 909--940 (2022; Zbl 1490.65317) Full Text: DOI
Khater, Mostafa M. A. Abundant accurate solitonic water and ionic liquid wave structures of the nanoparticle hybrid system. (English) Zbl 1499.65561 Comput. Appl. Math. 41, No. 4, Paper No. 177, 14 p. (2022). MSC: 65M70 65D07 35J10 35D30 35R10 35Q51 PDFBibTeX XMLCite \textit{M. M. A. Khater}, Comput. Appl. Math. 41, No. 4, Paper No. 177, 14 p. (2022; Zbl 1499.65561) Full Text: DOI
Dubey, Shweta; Chakraverty, S. Application of modified extended tanh method in solving fractional order coupled wave equations. (English) Zbl 07529675 Math. Comput. Simul. 198, 509-520 (2022). MSC: 35-XX 65-XX PDFBibTeX XMLCite \textit{S. Dubey} and \textit{S. Chakraverty}, Math. Comput. Simul. 198, 509--520 (2022; Zbl 07529675) Full Text: DOI
Bak, Soyoon A mixed approximate method to simulate generalized Hirota-Satsuma coupled KdV equations. (English) Zbl 1499.65371 Comput. Appl. Math. 41, No. 3, Paper No. 102, 22 p. (2022). MSC: 65M06 35Q53 65M25 PDFBibTeX XMLCite \textit{S. Bak}, Comput. Appl. Math. 41, No. 3, Paper No. 102, 22 p. (2022; Zbl 1499.65371) Full Text: DOI
Ahmed, Nauman; Aziz-ur Rehman, Muhammad; Adel, Waleed; Jarad, Fahd; Ali, Mubasher; Rafiq, Muhammad; Akgül, Ali Structure preserving numerical analysis of reaction-diffusion models. (English) Zbl 1483.65127 J. Funct. Spaces 2022, Article ID 5128343, 18 p. (2022). MSC: 65M06 PDFBibTeX XMLCite \textit{N. Ahmed} et al., J. Funct. Spaces 2022, Article ID 5128343, 18 p. (2022; Zbl 1483.65127) Full Text: DOI
Kim, Junseok; Lee, Hyun Geun Unconditionally energy stable second-order numerical scheme for the Allen-Cahn equation with a high-order polynomial free energy. (English) Zbl 1494.65077 Adv. Difference Equ. 2021, Paper No. 416, 13 p. (2021). MSC: 65M12 65M06 35Q35 65M70 35K55 PDFBibTeX XMLCite \textit{J. Kim} and \textit{H. G. Lee}, Adv. Difference Equ. 2021, Paper No. 416, 13 p. (2021; Zbl 1494.65077) Full Text: DOI
Khater, Mostafa M. A.; Park, Choonkil; Lee, Jung Rye; Mohamed, Mohamed S.; Attia, Raghda A. M. Five semi analytical and numerical simulations for the fractional nonlinear space-time telegraph equation. (English) Zbl 1494.35162 Adv. Difference Equ. 2021, Paper No. 227, 9 p. (2021). MSC: 35R11 65M70 26A33 PDFBibTeX XMLCite \textit{M. M. A. Khater} et al., Adv. Difference Equ. 2021, Paper No. 227, 9 p. (2021; Zbl 1494.35162) Full Text: DOI
Xu, Jiabin; Khan, Hassan; Shah, Rasool; Alderremy, A. A.; Aly, Shaban; Baleanu, Dumitru The analytical analysis of nonlinear fractional-order dynamical models. (English) Zbl 1484.65284 AIMS Math. 6, No. 6, 6201-6219 (2021). MSC: 65M99 35R11 PDFBibTeX XMLCite \textit{J. Xu} et al., AIMS Math. 6, No. 6, 6201--6219 (2021; Zbl 1484.65284) Full Text: DOI
Jena, Hrushikesh; Jena, Mahendra Kumar Construction of trigonometric box splines and the associated non-stationary subdivision schemes. (English) Zbl 1499.65042 Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 129, 27 p. (2021). MSC: 65D07 65D17 PDFBibTeX XMLCite \textit{H. Jena} and \textit{M. K. Jena}, Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 129, 27 p. (2021; Zbl 1499.65042) Full Text: DOI
Mishra, Arvind Kumar; Kumar, Sushil; Shukla, A. K. Numerical approximation of fractional telegraph equation via Legendre collocation technique. (English) Zbl 1499.65571 Int. J. Appl. Comput. Math. 7, No. 5, Paper No. 198, 27 p. (2021). MSC: 65M70 65N15 65N35 26A33 35R11 65N12 65D07 65D12 35L10 78A55 PDFBibTeX XMLCite \textit{A. K. Mishra} et al., Int. J. Appl. Comput. Math. 7, No. 5, Paper No. 198, 27 p. (2021; Zbl 1499.65571) Full Text: DOI
Wang, Jian; Kamran; Jamal, Ayesha; Li, Xuemei Numerical solution of fractional-order Fredholm integrodifferential equation in the sense of Atangana-Baleanu derivative. (English) Zbl 1512.65142 Math. Probl. Eng. 2021, Article ID 6662808, 8 p. (2021). MSC: 65L05 34K37 45J05 PDFBibTeX XMLCite \textit{J. Wang} et al., Math. Probl. Eng. 2021, Article ID 6662808, 8 p. (2021; Zbl 1512.65142) Full Text: DOI
Obaidullah, U.; Jamal, Sameerah A computational procedure for exact solutions of Burgers’ hierarchy of nonlinear partial differential equations. (English) Zbl 07435183 J. Appl. Math. Comput. 65, No. 1-2, 541-551 (2021). MSC: 65Mxx 35Q53 35Q74 37K10 74J30 PDFBibTeX XMLCite \textit{U. Obaidullah} and \textit{S. Jamal}, J. Appl. Math. Comput. 65, No. 1--2, 541--551 (2021; Zbl 07435183) Full Text: DOI
Ali, Umair; Khan, Muhammad Asim; Khater, Mostafa M. A.; Mousa, A. A.; Attia, Raghda A. M. A new numerical approach for solving 1D fractional diffusion-wave equation. (English) Zbl 1466.65056 J. Funct. Spaces 2021, Article ID 6638597, 7 p. (2021). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{U. Ali} et al., J. Funct. Spaces 2021, Article ID 6638597, 7 p. (2021; Zbl 1466.65056) Full Text: DOI
Khater, Mostafa M. A.; Park, Choonkil; Lu, Dianchen; Attia, Raghda A. M. Analytical, semi-analytical, and numerical solutions for the Cahn-Allen equation. (English) Zbl 1487.35409 Adv. Difference Equ. 2020, Paper No. 9, 12 p. (2020). MSC: 35R11 65M06 26A33 PDFBibTeX XMLCite \textit{M. M. A. Khater} et al., Adv. Difference Equ. 2020, Paper No. 9, 12 p. (2020; Zbl 1487.35409) Full Text: DOI
Sui, Yubing; Zhang, Donghao; Cao, Junying; Zhang, Jun An efficient finite element method and error analysis for eigenvalue problem of Schrödinger equation with an inverse square potential on spherical domain. (English) Zbl 1486.65236 Adv. Difference Equ. 2020, Paper No. 582, 14 p. (2020). MSC: 65N25 35J60 65N30 35Q55 PDFBibTeX XMLCite \textit{Y. Sui} et al., Adv. Difference Equ. 2020, Paper No. 582, 14 p. (2020; Zbl 1486.65236) Full Text: DOI
Ali, Ahmad T.; Khater, Mostafa M. A.; Attia, Raghda A. M.; Abdel-Aty, Abdel-Haleem; Lu, Dianchen Abundant numerical and analytical solutions of the generalized formula of Hirota-Satsuma coupled KdV system. (English) Zbl 1495.35156 Chaos Solitons Fractals 131, Article ID 109473, 10 p. (2020). MSC: 35Q53 35C08 65M22 PDFBibTeX XMLCite \textit{A. T. Ali} et al., Chaos Solitons Fractals 131, Article ID 109473, 10 p. (2020; Zbl 1495.35156) Full Text: DOI
Khater, Mostafa M. A.; Attia, Raghda A. M.; Abdel-Aty, Abdel-Haleem; Alharbi, W.; Lu, Dianchen Abundant analytical and numerical solutions of the fractional microbiological densities model in bacteria cell as a result of diffusion mechanisms. (English) Zbl 1489.92102 Chaos Solitons Fractals 136, Article ID 109824, 7 p. (2020). MSC: 92C70 65D07 PDFBibTeX XMLCite \textit{M. M. A. Khater} et al., Chaos Solitons Fractals 136, Article ID 109824, 7 p. (2020; Zbl 1489.92102) Full Text: DOI
Khater, Mostafa M. A.; Chu, Yu-Ming; Attia, Raghda A. M.; Inc, Mustafa; Lu, Dianchen On the analytical and numerical solutions in the quantum magnetoplasmas: the Atangana conformable derivative \((1+3)\)-ZK equation with power-law nonlinearity. (English) Zbl 1478.35177 Adv. Math. Phys. 2020, Article ID 5809289, 10 p. (2020). MSC: 35Q35 76A05 76X05 81Q80 35C08 35B20 65D07 26A33 35R11 PDFBibTeX XMLCite \textit{M. M. A. Khater} et al., Adv. Math. Phys. 2020, Article ID 5809289, 10 p. (2020; Zbl 1478.35177) Full Text: DOI
Ahmad, Hijaz; Akgül, Ali; Khan, Tufail A.; Stanimirović, Predrag S.; Chu, Yu-Ming New perspective on the conventional solutions of the nonlinear time-fractional partial differential equations. (English) Zbl 1456.35208 Complexity 2020, Article ID 8829017, 10 p. (2020). MSC: 35R11 35C10 65M12 PDFBibTeX XMLCite \textit{H. Ahmad} et al., Complexity 2020, Article ID 8829017, 10 p. (2020; Zbl 1456.35208) Full Text: DOI
Saratha, S. R.; Sai Sundara Krishnan, G.; Bagyalakshmi, M.; Lim, Chee Peng Solving Black-Scholes equations using fractional generalized homotopy analysis method. (English) Zbl 1463.91202 Comput. Appl. Math. 39, No. 4, Paper No. 262, 35 p. (2020). MSC: 91G60 35R11 35Q91 65M99 91G20 PDFBibTeX XMLCite \textit{S. R. Saratha} et al., Comput. Appl. Math. 39, No. 4, Paper No. 262, 35 p. (2020; Zbl 1463.91202) Full Text: DOI
Attia, Raghda A. M.; Alfalqi, S. H.; Alzaidi, J. F.; Khater, Mostafa M. A.; Lu, Dianchen Computational and numerical solutions for \((2+1)\)-dimensional integrable Schwarz-Korteweg-de Vries equation with Miura transform. (English) Zbl 1451.65167 Complexity 2020, Article ID 2394030, 13 p. (2020). MSC: 65M99 35Q53 35C07 PDFBibTeX XMLCite \textit{R. A. M. Attia} et al., Complexity 2020, Article ID 2394030, 13 p. (2020; Zbl 1451.65167) Full Text: DOI