The Rothe's Method to a Parabolic Integrodifferential Equation with a Nonclassical Boundary Conditions

Author:

Bouziani Abdelfatah1,Mechri Rachid1

Affiliation:

1. Department of Mathematics, University of Larbi Ben M’Hidi, Oum El Bouagui 04000, Algeria

Abstract

This paper is devoted to prove, in a nonclassical function space, the weak solvability of parabolic integrodifferential equations with a nonclassical boundary conditions. The investigation is made by means of approximation by the Rothes method which is based on a semidiscretization of the given problem with respect to the time variable.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Modelling and Simulation,Statistics and Probability,Analysis

Reference12 articles.

1. Mathematics and Its Applications (East European Series),1982

2. Teubner-Texte zur Mathematik,1985

3. Mixed problem with boundary integral conditions for a certain parabolic equation

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