Academic Journal
An Efficient Numerical Approach for Solving Nonlinear Coupled Hyperbolic Partial Differential Equations with Nonlocal Conditions
| العنوان: | An Efficient Numerical Approach for Solving Nonlinear Coupled Hyperbolic Partial Differential Equations with Nonlocal Conditions |
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| المؤلفون: | A. H. Bhrawy, M. A. Alghamdi, Eman S. Alaidarous |
| المصدر: | Abstract and Applied Analysis, Vol 2014 (2014) |
| بيانات النشر: | Hindawi Limited, 2014. |
| سنة النشر: | 2014 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | Mathematics, QA1-939 |
| الوصف: | One of the most important advantages of collocation method is the possibility of dealing with nonlinear partial differential equations (PDEs) as well as PDEs with variable coefficients. A numerical solution based on a Jacobi collocation method is extended to solve nonlinear coupled hyperbolic PDEs with variable coefficients subject to initial-boundary nonlocal conservation conditions. This approach, based on Jacobi polynomials and Gauss-Lobatto quadrature integration, reduces solving the nonlinear coupled hyperbolic PDEs with variable coefficients to a system of nonlinear ordinary differential equation which is far easier to solve. In fact, we deal with initial-boundary coupled hyperbolic PDEs with variable coefficients as well as initial-nonlocal conditions. Using triangular, soliton, and exponential-triangular solutions as exact solutions, the obtained results show that the proposed numerical algorithm is efficient and very accurate. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 1085-3375 1687-0409 |
| Relation: | https://doaj.org/toc/1085-3375; https://doaj.org/toc/1687-0409 |
| DOI: | 10.1155/2014/295936 |
| URL الوصول: | https://doaj.org/article/2d45e5153c4b4e468da498407a8d3d6a |
| رقم الانضمام: | edsdoj.2d45e5153c4b4e468da498407a8d3d6a |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 10853375 16870409 |
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| DOI: | 10.1155/2014/295936 |