FIBONACCI WAVELETS APPROACH FOR SOLVING NON LINEAR FREDHOLM INTEGRAL EQUATIONS
POOJA YADAV AND SHAH JAHAN · Poincare Journal of Analysis and Applications · 2024
In this research article, an effective computational technique is introduced for the numerical solutions of nonlinear Fredholm integral equations (NLFIE) by utilizing the Fibonacci wavelets collocation method.The primary aim of this study is to use Fibonacci wavelets to approximate the nonlinear part of the integral equations.The NLFIE is then reduced to a set of nonlinear algebraic equations.Further, these equations are computed by appropriate techniques, such as the Newton-Raphson technique.Also, the error and convergence analysis of the suggested technique is presented.Several examples are presented to show the effectiveness of the suggested technique.This allows us to evaluate the precision of the number of results.It is worth mentioning that the findings are accurate even when there are few grid points.