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A Non-Uniform Haar Wavelet Method for Coupled Problems

Author Affiliations

  • 1Department of Mathematics, Balganga Degree College, Sendul, Kemar, Sri Dev Suman Uttarakhand University, Tehri Garhwal, Uttarakhand, India, 249155

Res. J. Mathematical & Statistical Sci., Volume 14, Issue (3), Pages 4-9, September,12 (2026)

Abstract

In this paper, an approach for the solution of systems of first and second order linear partial singularly perturbed (LPSP) initial and boundary value problems or coupled problems, respectively, has been proposed using non-uniform Haar wavelets in wavelet collocation method. Three different types of meshes have been considered. Maximum absolute residual errors (MAREs) of numerical solutions obtained by proposed method have been presented in tabular form. The numerical results demonstrate that the proposed method yields highly accurate approximations.

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