Weak generalized and numerical solution for a quasilinear pseudo-parabolic equation with nonlocal boundary condition

被引：1

作者：

Baglan, Irem ^{[1
]}

Kanca, Fatma ^{[2
]}

机构：

[1] Kocaeli Univ, Dept Math, TR-41380 Kocaeli, Turkey

[2] Kadir Has Univ, Dept Management Informat Syst, TR-34083 Istanbul, Turkey

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2014年

关键词：

Generalized Fourier Method; Iteration Algorithm; Continuous Dependence; Bessel Inequality; Cauchy Inequality;

D O I：

10.1186/1687-1847-2014-277

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the one dimensional mixed problem with nonlocal boundary conditions, for the quasilinear parabolic equation. Under some natural regularity and consistency conditions on the input data, the existence, uniqueness, convergence of the weak generalized solution, and also continuous dependence upon the data of the solution are shown by using the generalized Fourier method. We construct an iteration algorithm for the numerical solution of this problem.

引用

页数：22

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