Výsledky vyhledávání - "Mohammad Aslefallah"

Meshless singular boundary method for two-dimensional pseudo-parabolic equation: analysis of stability and convergence

Autor: Mohammad Aslefallah, Elyas Shivanian, Saeid Abbasbandy

Publikováno v: Journal of Applied Mathematics and Computing. 63:585-606

In this study, the singular boundary method is applied to solve time-dependent pseudo-parabolic equations in two space dimensions with initial and Dirichlet-type boundary conditions. A splitting procedure is used to split the solution of the inhomoge

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::54807381c6239e1d70882b6b72f4df01
https://doi.org/10.1007/s12190-020-01330-x

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Fractional cable problem in the frame of meshless singular boundary method

Autor: Mohammad Aslefallah, Saeid Abbasbandy, Elyas Shivanian

Publikováno v: Engineering Analysis with Boundary Elements. 108:124-132

In this study, singular boundary method (SBM) is employed for solving fractional cable problem in two dimensional space with initial and Dirichlet-type boundary conditions. The process is modeled as a two dimensional time-fractional equation in sense

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4ccf88b07a563b184833c5fae3aeaac1
https://doi.org/10.1016/j.enganabound.2019.08.003

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Numerical solution of a modified anomalous diffusion equation with nonlinear source term through meshless singular boundary method

Autor: Elyas Shivanian, Mohammad Aslefallah, Saeid Abbasbandy

Publikováno v: Engineering Analysis with Boundary Elements. 107:198-207

In this study, singular boundary method is employed for solving a modified anomalous diffusion process in two dimensional space with nonlinear source term with initial and Dirichlet-type boundary conditions. The process is modeled as a two dimensiona

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b50e937407af2546d372da298ec757a3
https://doi.org/10.1016/j.enganabound.2019.07.016

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Meshless formulation to two‐dimensional nonlinear problem of generalized Benjamin–Bona–Mahony–Burgers through singular boundary method: Analysis of stability and convergence

Autor: Mohammad Aslefallah, Saeid Abbasbandy, Elyas Shivanian

Publikováno v: Numerical Methods for Partial Differential Equations. 36:249-267

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::96e471c4d387a93a480b5865ce4c7e11
https://doi.org/10.1002/num.22426

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An efficient meshless method based on RBFs for the time fractional diffusion-wave equation

Autor: Mohammad Aslefallah, Elyas Shivanian

Publikováno v: Afrika Matematika. 29:1203-1214

This paper proposes a numerical method to deal with time-fractional diffusion-wave equation (one-dimensional and two-dimensional). The time-fractional term of the problem is scheduled in Caputo sense which is popular in analyzing time-fractional depe

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::beceaa2f078cb333457b9095caa684a5
https://doi.org/10.1007/s13370-018-0616-y

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Stability and convergence of spectral radial point interpolation method locally applied on two-dimensional pseudoparabolic equation

Autor: Elyas Shivanian, Mohammad Aslefallah

Publikováno v: Numerical Methods for Partial Differential Equations. 33:724-741

In this article, we study a spectral meshless radial point interpolation of pseudoparabolic equations in two spatial dimensions. Shape functions, which are constructed through point interpolation method using the radial basis functions, help us to tr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c8af2418451b2f32b4d8756e2ee6726c
https://doi.org/10.1002/num.22119

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