Rothe–Legendre pseudospectral method for a semilinear pseudoparabolic equation with nonclassical boundary condition
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| Format: | Artículo científico |
| Language: | en |
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Vilniaus Universitetas
2022
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| _version_ | 1876443770557300736 |
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| author | Abdeldjalil Chattouh |
| author_facet | Abdeldjalil Chattouh |
| contents | Rothe–Legendre pseudospectral method for a semilinear pseudoparabolic equation with nonclassical boundary condition Abdeldjalil Chattouh Khaled Saoudi Maroua Nouar Matemáticas pseudo solvability Rothe method spectral method nonlocal conditions A semilinear pseudoparabolic equation with nonlocal integral boundary conditions is studied in the present paper. Using Rothe method, which is based on backward Euler finite- difference schema, we designed a suitable semidiscretization in time to approximate the original problem by a sequence of standard elliptic problems. The questions of convergence of the approximation scheme as well as the existence and uniqueness of the solution are investigated. Moreover, the Legendre pseudospectral method is employed to discretize the time-discrete approximation scheme in the space direction. The main advantage of the proposed approach lies in the fact that the full-discretization schema leads to a symmetric linear algebraic system, which may be useful for theoretical and practical reasons. Finally, numerical experiments are included to illustrate the effectiveness and robustness of the presented algorithm. 2022 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694173132003 https://www.redalyc.org/journal/6941/694173132003/ https://www.redalyc.org/journal/6941/694173132003/html/ https://www.redalyc.org/journal/6941/694173132003/694173132003.epub https://www.redalyc.org/journal/6941/694173132003/movil en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.1 Vol.27 |
| format | Artículo científico |
| id | redalyc_694173132003 |
| institution | Redalyc |
| language | en |
| publishDate | 2022 |
| publisher | Vilniaus Universitetas |
| spellingShingle | Rothe–Legendre pseudospectral method for a semilinear pseudoparabolic equation with nonclassical boundary condition Abdeldjalil Chattouh Matemáticas pseudo solvability Rothe method spectral method nonlocal conditions Rothe–Legendre pseudospectral method for a semilinear pseudoparabolic equation with nonclassical boundary condition Abdeldjalil Chattouh Khaled Saoudi Maroua Nouar Matemáticas pseudo solvability Rothe method spectral method nonlocal conditions A semilinear pseudoparabolic equation with nonlocal integral boundary conditions is studied in the present paper. Using Rothe method, which is based on backward Euler finite- difference schema, we designed a suitable semidiscretization in time to approximate the original problem by a sequence of standard elliptic problems. The questions of convergence of the approximation scheme as well as the existence and uniqueness of the solution are investigated. Moreover, the Legendre pseudospectral method is employed to discretize the time-discrete approximation scheme in the space direction. The main advantage of the proposed approach lies in the fact that the full-discretization schema leads to a symmetric linear algebraic system, which may be useful for theoretical and practical reasons. Finally, numerical experiments are included to illustrate the effectiveness and robustness of the presented algorithm. 2022 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694173132003 https://www.redalyc.org/journal/6941/694173132003/ https://www.redalyc.org/journal/6941/694173132003/html/ https://www.redalyc.org/journal/6941/694173132003/694173132003.epub https://www.redalyc.org/journal/6941/694173132003/movil en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.1 Vol.27 |
| title | Rothe–Legendre pseudospectral method for a semilinear pseudoparabolic equation with nonclassical boundary condition |
| topic | Matemáticas pseudo solvability Rothe method spectral method nonlocal conditions |
| url | https://www.redalyc.org/articulo.oa?id=694173132003 https://www.redalyc.org/journal/6941/694173132003/ https://www.redalyc.org/journal/6941/694173132003/html/ https://www.redalyc.org/journal/6941/694173132003/694173132003.epub https://www.redalyc.org/journal/6941/694173132003/movil |