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A Novel Numerical Technique For Solving Nonlinear Volterra Integro Differential Equation
  • musa cakir,
  • Hakkı DURU,
  • Baransel GUNES
musa cakir
Yuzuncu Yil University
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Hakkı DURU
Yuzuncu Yil Universitesi Fen Bilimleri Enstitusu
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Baransel GUNES
Yuzuncu Yil Universitesi Fen Bilimleri Enstitusu
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Abstract

In this article, we study quasilinear Volterra integro-differential equations (VIDEs). Asymptotic estimates are made for the solution of VIDE. Finite difference scheme which is accomplished by the method of integral identities with using of interpolating quadrature rules with weight functions and remainder term in integral form are presented for the VIDE. Error estimates are carried out according to the discrete maximum norm. It is given an effective quasilinearization technique for solving nonlinear VIDE. The theoretical results are tested on numerical examples.