Wavelet-Based Method for Solving Linear Elliptic PDE with Dirichlet Boundary Conditions on Irregular Domains

Authors

  • Francis Ohene Boateng Department of Mathematics Education, Akenten Appiah-Menka University of Skills Training and Entrepreneurial Development, Kumasi, Ghana.
  • Joseph Ackora-Prah Department of Mathematics, Kwame Nkrumah University of Science and Technology Kumasi, Ghana.
  • Benedict Barnes Department of Mathematics, Kwame Nkrumah University of Science and Technology Kumasi, Ghana.

DOI:

https://doi.org/10.9734/bpi/tpmcs/v6/2419E

Keywords:

Dirichlet problem, penalty, fictitious domain, PDEs, Daubechies wavelet function, irregular domain, finite difference

Abstract

This chapter of the book presents a Finite Difference Fictitious Domain Wavelet Method (FDFDWM) with penalty parameter for solving two dimensional linear elliptic PDE with Dirichlet boundary condition, defined on irregular geometric domains.

Published

2021-02-27

How to Cite

Francis Ohene Boateng, Joseph Ackora-Prah, & Benedict Barnes. (2021). Wavelet-Based Method for Solving Linear Elliptic PDE with Dirichlet Boundary Conditions on Irregular Domains. Theory and Practice of Mathematics and Computer Science Vol. 8, 118–132. https://doi.org/10.9734/bpi/tpmcs/v6/2419E

Issue

Theory and Practice of Mathematics and Computer Science Vol. 8

Section

Chapters