Differential transform method to solve two-dimensional Volterra integral equations with proportional delays

Year 2017, Volume: 5 Issue: 4, 65 - 71, 01.10.2017

Şuayip Yüzbaşi And Nurbol İsmailov Yüzbaşi , Nurbol Ismailov

Abstract

In this
paper, the differential transform method is extended by providing a new theorem
to two-dimensional Volterra integral equations with proportional delays. The
method is useful for both linear and nonlinear equations. If solutions of
governing equations can be expanded for Taylor series, then the method gives
opportunity determine coefficients Taylor series, i.e. the exact solutions are
obtained in series form. In illustrate examples the method applying to a few
type equations.

Keywords

Two-dimensional Volterra integral equations with proportional delays, partial differential equations

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