Vol. 9(2) July 2021, No. 7, pp. 88-98.

A MODERN APPROACH FOR SOLVING NONLINEAR VOLTERRA INTEGRAL EQUATIONS USING FIBONACCI WAVELETS
Vol. 9(2) July 2021, No. 7, pp. 88-98
S. C. SHIRALASHETTI AND LATA LAMANI

 

Abstract

This article provides an effective technique to solve nonlinearVolterra integral equations using Fibonacci wavelets. These equations can be reduced to a system of nonlinear algebraic equations with unknown Fibonacci coefficients, by using Fibonacci wavelets, and their operational matrix of integration and these equations can be solved by numerical methods such as Newton’s method. Error estimate of the proposed method is given. Moreover, the results obtained by the method proposed are compared to exact solution with number of numerical examples to show that the method described is precise and accurate.


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