Numerical solution of generalised Pantograph equation using natural continuous extension fourth order Runge-Kutta method

K. Ponnammal; R. Sayeelakshmi

doi:10.26637/MJM0703/0029

Abstract

In this paper, we have solved Generalised pantograph equation which is special delay differential equation (DDE) using Natural Continuous Extension Runge-Kutta two stage fourth order Method (NCERKM). A modest effort is taken to derive NCERKM quadrature formula. Cubic Hermite Interpolation is incorporated to estimate the delay term. Numerical Results are given for various coefficients arrived.

Keywords:

Delay Differential Equation, Runge-Kutta Method, Continuous Extension, Interpolation

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

K. Ponnammal PG and Research Department of Mathematics, Periyar E. V. R. College, Tiruchirappalli-620023, Tamil Nadu, India.
R. Sayeelakshmi Department of Mathematics, Mookambigai Engineering College, Tiruchirappalli-622502, Tamil Nadu, India.

Pages: 545-549
Date Published: 01-07-2019
Vol. 7 No. 03 (2019): Malaya Journal of Matematik (MJM)

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