Solving Poisson’s Equations with fractional order using Haarwavelet

Abstract

The algebraic structure of the linear system appears in solving fractional order Poisson’s equation by Haar wavelet collocation approach is considered. The fractional derivative is described in the Caputo sense. Comparison with the classical integer case as a limiting process is illustrated. Numerical comparison is made between the solution using the Haar wavelet method and the finite difference method. The results confirms the accuracy for the Haar wavelet method.

Keywords

• fractional poisson’s equation
• finite difference
• wavelet
• haar wavelet
• 26a33
• 46f12
• 65r10