Laguerre Wavelet-Galerkin Method for the Numerical Solution of One Dimensional Partial Differential Equations


Abstract views: 26 / PDF downloads: 15

Authors

  • S. C. Shiralashetti Department of Mathematics, Karnatak University, Dharwad, Karnataka, India
  • L. M. Angadi Department of Mathematics, Government First Grade College, Chikodi, Karnataka, India
  • S. Kumbinarasaiah Department of Mathematics, Karnatak University, Dharwad, Karnataka, India

Keywords:

Galerkin method, Laguerre wavelet basis, differential equations, Finite difference method

Abstract

In this paper, we proposed Laguerre wavelet-Galerkin method for the numerical solution of one dimensional partial differential equations. Here, we used Laguerre wavelets as a weight functions that are assumed basis elements which allow us to obtain the numerical solutions of the differential equations. The obtained numerical results are compared with the classical finite difference method and exact solution. Numerical test problems are considered to demonstrate the applicability and validity of the purposed technique.

 

Author Biographies

S. C. Shiralashetti, Department of Mathematics, Karnatak University, Dharwad, Karnataka, India

 

 

L. M. Angadi, Department of Mathematics, Government First Grade College, Chikodi, Karnataka, India

 

 

S. Kumbinarasaiah, Department of Mathematics, Karnatak University, Dharwad, Karnataka, India

 

 

Downloads

Published

15-03-2018

How to Cite

S. C. Shiralashetti, L. M. Angadi, & S. Kumbinarasaiah. (2018). Laguerre Wavelet-Galerkin Method for the Numerical Solution of One Dimensional Partial Differential Equations. International Journal of Mathematics And Its Applications, 6(1 - E), 939–949. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1166

Issue

Vol. 6 No. 1 - E (2018)

Section

Research Article

License

Copyright (c) 2023 International Journal of Mathematics And its Applications

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.