Determination of a control parameter in a one-dimensional parabolic equation using the moving least-square approximation

Abstract

In this paper the approximation of moving least-square (MLS) is used for finding the solution of a one-dimensional parabolic inverse problem with source control parameter. Comparing with other numerical methods based on meshes such as finite difference method, finite element method and boundary element method, etc. the MLS approximation has merits of simpler numerical procedures, lower computation cost and arbitrary nodes. The result of a numerical example is presented.

Keywords:

• moving least-square approximation
• meshless method
• parabolic equation
• overspecification
• inverse problem

2000 AMS Subject Classification :

• 65N22
• 65M32
• 65N35

Additional information

Notes on contributors

Rongjun Cheng

*Email: [email protected]