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International Journal of Nonlinear Analysis and Applications، جلد ۱۶، شماره ۷، صفحات ۱۰۷-۱۲۰
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| عنوان فارسی |
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| چکیده فارسی مقاله |
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| کلیدواژه‌های فارسی مقاله |
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| عنوان انگلیسی |
The operational matrices of two dimensional Bernstein polynomials for solving the hyperbolic partial differential equation with boundary conditions |
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| چکیده انگلیسی مقاله |
The wave equations are one of the most important equations in engineering and physics, which are usually formulated as hyperbolic partial differential equations with special boundary conditions. In this paper, a numerical method for solving these equations based on Bernstein polynomials is introduced. The properties of Bernstein polynomial operational matrices turn this differential equation and its boundary conditions into a system of algebraic equations. Some numerical examples illustrate the accuracy, validity, and applicability of the new technique. |
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| کلیدواژه‌های انگلیسی مقاله |
Bernstein polynomial,two dimensions Bernstein polynomial,Best approximation,Operational matrices,Kronecker products,Hyperbolic Partial differential equation of second order |
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| نویسندگان مقاله |
Mohsen Mohamadi |
Department of Mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran
Amir Shahmari |
Department of Mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran
Hassan Eshaghi Kenari |
Department of Mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran
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| نشانی اینترنتی |
https://ijnaa.semnan.ac.ir/article_9062_7c4a1b232b9011e366e5c7fe74f9dc57.pdf |
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| زبان مقاله منتشر شده |
en |
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