1Assistant Professor, Applied Sciences and Humanities Department, Sardar Vallabhbhai Patel Institute of Technology Vasad, Gujarat, India
2Head and Professor, Department of Applied Mathematics, M.S. University of Baroda, Vadodara, Gujarat, India
*(*Corresponding Author) E-mail-id: mredulap@yahoo.com;
This article discusses numerical collocation approach for solving partial differential equation. The test problem of heat equation depicts close resemblance to their exact solutions which is obtained from computer implementation of the method. The method uses Haar wavelet as basis and the orthonormal properties of Haar help in simplified calculation and improved solution with higher resolution. The tables along with plots included, clearly highlights the improvement in solution pattern with a brief formulation of convergence analysis.
Collocation method, Algorithm, Partial differential equation, Haar wavelet, Multireso-lution, Heat equation, Convergence Analysis
