TY - JOUR
T1 - A Numerical Algorithm for Solving an Inverse Nonlinear Parabolic Problem
AU - R. Pourgholi , H. Molhem
JO - Journal of Information and Computing Science
VL - 4
SP - 279
EP - 286
PY - 2024
DA - 2024/01
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22702.html
KW -  Inverse  nonlinear  parabolic  problem,  Laplace  transform,  Finite  difference  method,  Least-
squares method, Regularization method. 

AB -  In  this  paper,  we  propose  an  algorithm  for  numerical  solving  an  inverse  nonlinear  diffusion 
problem.  The  algorithm  is  based  on  the  Laplace  transform  technique  and  the  finite  difference  method  in 
conjunction  with  the  least-squares  scheme.  To  regularize  the  resultant  ill-conditioned  linear  system  of 
equations, we apply the Tikhonov regularization method to obtain the stable numerical approximation to the 
solution. To show the efficiency and accuracy of the present method a test problem will be studied.