A Comparative Study of Numerical Solution of Second-order Singular Differential Equations Using Bernoulli Wavelet Techniques

Authors

  • Kailash Yadav Assistant Professor Hindustan University Chennai
  • Ateq Alsaadi Department of Mathematics and Statistics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabian

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i4.4916

Keywords:

Collocation points, grid pint, Bernoulli wavelets, Hermite wavelet, Chebyshev wavelets

Abstract

The main objective of this article is to discuss a numerical method for solving singular differential equations based on wavelets. Singular differential equations are first transformed into a system of linear algebraic equations, and then the linear system’s solution produces the unknown coefficients. Along with its estimated error, the convergence of the approximative solution is also
determined. Some numerical examples are thought to show that Bernoulli wavelet is better than Chebyshev and Legendre wavelet and other existing techniques.

Author Biography

Ateq Alsaadi, Department of Mathematics and Statistics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabian

 

 

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Published

2023-10-30

How to Cite

Yadav, K., & Alsaadi, A. (2023). A Comparative Study of Numerical Solution of Second-order Singular Differential Equations Using Bernoulli Wavelet Techniques . European Journal of Pure and Applied Mathematics, 16(4), 2096–2105. https://doi.org/10.29020/nybg.ejpam.v16i4.4916

Issue

Vol. 16 No. 4: (October 2023)

Section

Nonlinear Analysis

License

Copyright (c) 2023 European Journal of Pure and Applied Mathematics

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