Numerical Solution of Freholm-Volterra Integral Equations by Using Scaling Function Interpolation Method

• 作者: En-Bing Lin Yousef Al-Jarrah
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: WAVELETS Coiflets Scaling Function Interpolation VOLTERRA INTEGRAL EQUATION Fredholm-Volterra INTEGRAL EQUATION
• 年，卷（期）: 2013,（1）
• 页码范围: 204-209
• 页数: 6页
• 分类号: O1

摘要

Wavelet methods are a very useful tool in solving integral equations. Both scaling functions and wavelet functions are the key elements of wavelet methods. In this article, we use scaling function interpolation method to solve Volterra integral equations of the first kind, and Fredholm-Volterra integral equations. Moreover, we prove convergence theorem for the numerical solution of Volterra integral equations and Freholm-Volterra integral equations. We also present three examples of solving Volterra integral equation and one example of solving Fredholm-Volterra integral equation. Comparisons of the results with other methods are included in the examples.