Computing accurate solutions for coupled systems of second order partial differential equations

Abstract

In this paper a matrix separation of the variables method for solving initial-boundary value problems for coupled systems of second order partial differential equations is presented. Finite computable approximate solutions and upper error bounds for them in terms of data are given.

Keywords:

• Coupled partial differential systems
• initial-boundary value problem
• approximate solution
• accuracy
• error bounds

1985 AMS(M0S) Subject Classification:

• 35A20
• 35A40
• 65N15
• 65P05