Solutions of Linear and Nonlinear Volterra Integral Equations Using Hermite and Chebyshev Polynomials
Journal: INTERNATIONAL JOURNAL OF COMPUTERS & TECHNOLOGY (Vol.11, No. 8)Publication Date: 2013-12-13
Authors : Shafiqul Islam; Azizur Rahman;
Page : 2910-2920
Keywords : Linear and nonlinear Volterra integral equations; Galerkin method; Hermite and Chebyshev polynomials;
Abstract
The purpose of this work is to provide a novel numerical approach for the Volterra integral equations based on Galerkin weighted residual approximation. In this method Hermite and Chebyshev piecewise, continuous and differentiable polynomials are exploited as basis functions. A rigorous effective matrix formulation is proposed to solve the linear and nonlinear Volterra integral equations of the first and second kind with regular and singular kernels. The algorithm is simple and can be coded easily. The efficiency of the proposed method is tested on several numerical examples to get the desired and reliable good accuracy.
Other Latest Articles
- Digital Watermarking Techniques
- Topology Controlled Energy Proficient Protocol for Wireless Sensor Networks
- Software Quality: Issues, Concerns and New Directions
- Performance Evaluation System for Decision Tree Algorithms
- A Comparative Study of Color Image Segmentation Using Hard, Fuzzy,Rough Set Based Clustering Techniques
Last modified: 2016-06-29 18:38:55