A COMPARATIVE STUDY OF NUMERICAL SOLUTION OF PANTOGRAPH EQUATIONS USING VARIOUS WAVELETS TECHNIQUES

A COMPARATIVE STUDY OF NUMERICAL SOLUTION OF PANTOGRAPH EQUATIONS USING VARIOUS WAVELETS TECHNIQUES

J. P. Jaiswal, K. Yadav

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Abstract

The objective of the present article is to discuss a numerical method based on wavelets for nding the solution of pantograph dierential equations with propor- tional delays. First, the pantograph dierential equation is converted into system of linear algebraic equations and then unknown coecients are induced by solving the lin- ear system. The convergence of the approximate solution is also derived along with its error estimate. Some numerical examples are considered to demonstrate

Keywords

Pantograph equation, delay dierential equation, Bernoulli wavelet, colloca- tion point.