Wilson wavelets method for solving nonlinear fractional Fredholm–Hammerstein integro-differential equations

Abstract

In this paper, an accurate numerical approach based on the Wilson wavelets and collocation method together with Kumar and Sloan scheme is proposed to numerical solution of a nonlinear fractional Fredholm–Hammerstein integro-differential equations. The presented method transforms solving such problems into solving systems of nonlinear algebraic equations. Error analysis of the established method is investigated theoretically and numerically. The accuracy of the proposed method is investigated on some numerical examples. The obtained results confirms that the presented method is satisfactory for such problems.

Keywords:

• Wilson wavelet
• Fredholm–Hammerstein integro-differential equations
• fractional order
• error analysis

2010 Mathematics Subject Classifications:

• 65T60
• 65R20
• 42C40

Disclosure statement

No potential conflict of interest was reported by the authors.