Exact and approximation product solutions form of heat equation with nonlocal boundary conditions using Ritz-Galerkin method with Bernoulli polynomials basis-Reference-Cited by-同舟云学术

Exact and approximation product solutions form of heat equation with nonlocal boundary conditions using Ritz-Galerkin method with Bernoulli polynomials basis

Published:2017-02-03 Issue:4 Volume:33 Page:1143-1158
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numer. Methods Partial Differential Eq.

Author:

Barikbin Z.¹,Keshavarz Hedayati E.²

Affiliation:

1. Department of Mathematics; Imam Khomeini International University; Qazvin 34149-16818 Iran

2. Department of Mathematics; Buein Zahra Technical University; Buein Zahra Qazvin 34517-45346 Iran

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Reference42 articles.

1. On a class of parabolic equations with a nonlocal boundary condition;Bouziani;Acad Roy Belg Bull Cl Sci,1999

2. Strong solution for a mixed problem with nonlocal condition for a certain pluriparabolic equations;Bouziani;Hiroshima Math J,1997

3. An implicit finite difference scheme for the diffusion equation subject to the specification of mass;Cannon;Int J Eng Sci,1990

4. On a class of non-classical parabolic problems;Cannon;J Differential Equations,1989

5. The One-Dimensional Heat Equation

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