On the Exact Series Solution for Nonhomogeneous Strongly Coupled Mixed Parabolic Boundary Value Problems

Vicente Soler; Emilio Defez; Roberto Capilla; José Antonio Verdoy

doi:10.1155/2014/826860

Translator Disclaimer

2014 On the Exact Series Solution for Nonhomogeneous Strongly Coupled Mixed Parabolic Boundary Value Problems

Vicente Soler, Emilio Defez, Roberto Capilla, José Antonio Verdoy

Abstr. Appl. Anal. 2014: 1-10 (2014). DOI: 10.1155/2014/826860

Abstract

An exact series solution for nonhomogeneous parabolic coupled systems of the type ${u}_{t}-A{u}_{xx}=G(x, t), {A}_{1}u(0, t)+{B}_{1}{u}_{x}(0, t)=0, {A}_{2}u(l, t)+{B}_{2}{u}_{x}(l, t)=0, 0<x<1, t>0, u(x, 0)=f(x)$ , where ${A}_{1}, {A}_{2}, {B}_{1}$ , and ${B}_{2}$ are arbitrary matrices for which the block matrix $(\begin{array}{cc}{A}_{1}& {B}_{1}\\[5pt] {A}_{2}& {B}_{2}\end{array})$ is nonsingular, and A is a positive stable matrix, is constructed.

Citation

Download Citation

Vicente Soler. Emilio Defez. Roberto Capilla. José Antonio Verdoy. "On the Exact Series Solution for Nonhomogeneous Strongly Coupled Mixed Parabolic Boundary Value Problems." Abstr. Appl. Anal. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/826860