NUMERICAL SOLUTION OF NON-LINEAR VOLTERRA- FREDHOLM-HAMMERSTEIN INTEGRAL EQUATIONS BY USING HAAR WAVELET COLLOCATION METHOD

Abstract

In this project, we discussed numerical solutions of non-linear Volterra-Fredholm-Hamme rstein integral equations by using haar wavelet collocation method. Non-linear Volterra- Fredholm-Hammerstein integral equations which can not be easily evaluated analytically. This project was concerned with numerical method (Haar wave collocation method). Haar wavelet collocation method was used to transform non-linear Volterra–Fredholm– Hammerstein integral equations to a system of algebraic equations. Haar wavelet and its operational matrices were utilized to convert the integral equation into a system of algebra ic equations and the resulting algebraic equationwere solved by using MATLAB to comput e the Haar coefficients.The computational cost for these method was analyzed for example s and the error analysis was done by haar wavelet collocation method numerically. The presented concept and method was verified by means of different examples, where theoretical results were numerically confirmed. Most computations were performed using MATLAB codes.computations were performed using MATLAB codes. This project can be extendi ng to solve nonlinear volterra-fredholm-hammerstein integral equation with inequality constraints using these two methods