Article citationsMore>>

Hussein, M.S. and Lesnic, D. (2016) Simultaneous Determination of Time and Space-Dependent Coefficients in a Parabolic Equation. Communications in Nonlinear Science and Numerical Simulation, 33, 194-217.
https://doi.org/10.1016/j.cnsns.2015.09.008

has been cited by the following article:

• TITLE: A Local Meshless Method for Two Classes of Parabolic Inverse Problems

  AUTHORS: Wei Liu, Baiyu Wang

  KEYWORDS: Meshless Method, Moving Least Squares, Local Radial Basis Functions, Inverse Problem, Parabolic Equation

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.5, May 17, 2018

  ABSTRACT: A local meshless method is applied to find the numerical solutions of two classes of inverse problems in parabolic equations. The problem is reconstructing the source term using a solution specified at some internal points; one class is that the source term is time dependent, and the other class is that the source term is time and space dependent. Some numerical experiments are presented and discussed.