Modified Wavelet Method for Solving Two-dimensional Coupled System of Evolution Equations

Author(s):
Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

As two-dimensional coupled system of nonlinear partial differential equations does not give enough smooth solutions, when approximated by linear, quadratic and cubic polynomials and gives poor convergence or no convergence. In such cases, approximation by zero degree polynomials like Haar wavelets (continuous functions with finite jumps) are most suitable and reliable. Therefore, modified numerical method based on Taylor series expansion and Haar wavelets is presented for solving coupled system of nonlinear partial differential equations. Efficiency and accuracy of the proposed method is depicted by comparing with classical methods.

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:17 Issue: 1, May 2022
Pages:
239 to 259
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