The Variational Iteration Method for an Inverse Problem of Finding a Source Parameter

DOI10.4208/aamm.2015.m1292zbMath1488.35275OpenAlexW2576739461MaRDI QIDQ5155261

Zongli Ma, Shumin Li

Publication date: 6 October 2021

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aamm.2015.m1292

zbMATH Keywords

inverse problemparabolic equationvariational iteration method

Mathematics Subject Classification ID

Heat equation (35K05) Nonlinear ill-posed problems (47J06) Parabolic equations and parabolic systems (35K99) Inverse problems in optimal control (49N45)

Cites Work

• Unnamed Item
• A backward parabolic equation with a time-dependent coefficient: regularization and error estimates
• Variational iteration method for solving an inverse parabolic equation
• A piecewise variational iteration method for treating a nonlinear oscillator of a mass attached to a stretched elastic wire
• He's variational iteration method for solving a semi-linear inverse parabolic equation
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• He's variational iteration method for solving linear and non-linear systems of ordinary differential equations
• On the convergence of He's variational iteration method
• Determination of source parameter in parabolic equations
• An inverse problem of finding a source parameter in a semilinear parabolic equation
• Identifying an unknown coefficient in the reaction-diffusion equation using He's VIM
• A comparison between the variational iteration method and the successive approximations method
• Variational iteration method for inverse problem of diffusion equation
• Numerical procedures for the determination of an unknown coefficient in semi-linear parabolic differential equations
• A new approach to nonlinear partial differential equations