Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations
In this paper, modified variational iteration algorithm-II is investigated for finding approximate solutions of nonlinear Parabolic equations. Comparisons of the MVIA-II with trigonometric B-spline collocation method, variational iteration method, homotopy perturbation transform method, Adomian deco...
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| Vydáno v: | Journal of Taibah University for Science Ročník 14; číslo 1; s. 346 - 358 |
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| Hlavní autoři: | , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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Taylor & Francis
01.01.2020
Taylor & Francis Group |
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| ISSN: | 1658-3655, 1658-3655 |
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| Abstract | In this paper, modified variational iteration algorithm-II is investigated for finding approximate solutions of nonlinear Parabolic equations. Comparisons of the MVIA-II with trigonometric B-spline collocation method, variational iteration method, homotopy perturbation transform method, Adomian decomposition method, and modified variational iteration method are carried out, which show that the proposed algorithm (MVIA-II) is robust one. Some nonlinear Parabolic equations are given to demonstrate the implementation and accuracy of the MVIA-II. |
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| AbstractList | In this paper, modified variational iteration algorithm-II is investigated for finding approximate solutions of nonlinear Parabolic equations. Comparisons of the MVIA-II with trigonometric B-spline collocation method, variational iteration method, homotopy perturbation transform method, Adomian decomposition method, and modified variational iteration method are carried out, which show that the proposed algorithm (MVIA-II) is robust one. Some nonlinear Parabolic equations are given to demonstrate the implementation and accuracy of the MVIA-II. |
| Author | Seadawy, Aly R. Khan, Tufail A. Ahmad, Hijaz Thounthong, Phatiphat |
| Author_xml | – sequence: 1 givenname: Hijaz surname: Ahmad fullname: Ahmad, Hijaz organization: Department of Basic Sciences, University of Engineering and Technology – sequence: 2 givenname: Aly R. orcidid: 0000-0002-7412-4773 surname: Seadawy fullname: Seadawy, Aly R. email: aly742001@yahoo.com organization: Mathematics Department, Faculty of Science, Taibah University – sequence: 3 givenname: Tufail A. surname: Khan fullname: Khan, Tufail A. organization: Department of Basic Sciences, University of Engineering and Technology – sequence: 4 givenname: Phatiphat orcidid: 0000-0002-1453-4236 surname: Thounthong fullname: Thounthong, Phatiphat organization: Department of Teacher Training in Electrical Engineering, Faculty of Technical Education, Renewable Energy Research Centre, King Mongkut's University of Technology North Bangkok |
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| SubjectTerms | algorithms Allen-Cahn equation equations Fisher equations Modified variational iteration algorithm-II MVIA-I Newell-Whitehead equation universities |
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| Title | Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations |
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