Homotopy analysis method for discrete quasi-reversibility mollification method of nonhomogeneous backward heat conduction problem-Reference-Cited by-同舟云学术

Homotopy analysis method for discrete quasi-reversibility mollification method of nonhomogeneous backward heat conduction problem

Published:2023-01-01 Issue:1 Volume:12 Page:
ISSN:2192-8029
Container-title:Nonlinear Engineering
language:en
Short-container-title:

Author:

Rahimi Mostafa¹,Rostamy Davood¹

Affiliation:

1. Department of Applied Mathematics, Imam Khomeini International University , Qazvin , Iran

Abstract

Abstract In this article, the inverse time problem is investigated. Regarding the ill-posed linear problem, utilize the quasi-reversibility method first. This problem has been regularized and after that provides an iterative regularizing strategy for noisy input data that are based on homotopy. For the regularizing solution, the error analysis is proved when we employ noisy measurement data as our initial guess. Finally, numerical implementations are presented.

Publisher

Walter de Gruyter GmbH

Subject

Computer Networks and Communications,General Engineering,Modeling and Simulation,General Chemical Engineering

Link

https://www.degruyter.com/document/doi/10.1515/nleng-2022-0304/pdf

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