A Numerical Algorithm for Solving an Inverse Nonlinear Parabolic Problem
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@Article{JICS-5-279,
author = {R. Pourgholi , H. Molhem},
title = {A Numerical Algorithm for Solving an Inverse Nonlinear Parabolic Problem},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {5},
number = {4},
pages = {279--286},
abstract = { 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.
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22702.html}
}
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.
R. Pourgholi , H. Molhem. (2024). A Numerical Algorithm for Solving an Inverse Nonlinear Parabolic Problem.
Journal of Information and Computing Science. 5 (4).
279-286.
doi:
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