Ritz–Galerkin method for solving an inverse problem of parabolic equation with moving boundaries and integral condition

DOI10.1080/00036811.2018.1434512zbMath1418.65121OpenAlexW2794037967MaRDI QIDQ5227752

Jian-Rong Zhou, Yongzhi Xu, Heng Li

Publication date: 7 August 2019

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2018.1434512

zbMATH Keywords

inverse problemparabolic equationinitial boundary value problemmoving boundariesRitz-Galerkin methodapproximation solution

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (4)

Error estimate of a Legendre-Galerkin Chebyshev collocation method for a class of parabolic inverse problem ⋮ On the coefficient inverse problem of heat conduction in a degenerating domain ⋮ On the numerical solution of a class of variable coefficients parabolic moving boundary problems ⋮ Another way of solving a free boundary problem related to DCIS model

Cites Work

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• An inverse problem of finding a parameter in a semi-linear heat equation
• A Ritz-Galerkin approximation to the solution of parabolic equation with moving boundaries
• Galerkin method applied to a parabolic evolution problem with nonlocal boundary conditions
• An inverse problem of identifying the coefficient of parabolic equation
• Analysis of a mathematical model for the growth of tumors
• A free boundary problem model of ductal carcinoma in situ
• Finding a control parameter in one-dimensional parabolic equations
• Some inverse problems raised from a mathematical model of ductal carcinoma in situ
• Determination of a control parameter in a one-dimensional parabolic equation using the method of radial basis functions
• Parameter determination in a partial differential equation from the overspecified data
• Solving an inverse parabolic problem by optimization from final measurement data
• Application of the Ritz-Galerkin method for recovering the spacewise-coefficients in the wave equation
• Simultaneous reconstruction of the initial temperature and heat radiative coefficient
• Ritz-Galerkin method for solving a parabolic equation with non-local and time-dependent boundary conditions
• Direct and inverse problem for the parabolic equation with initial value and time-dependent boundaries
• Ritz–Galerkin method for solving an inverse heat conduction problem with a nonlinear source term via Bernstein multi-scaling functions and cubic B-spline functions
• Ritz‐Galerkin method with Bernstein polynomial basis for finding the product solution form of heat equation with non‐classic boundary conditions
• An inverse parabolic problem with non-zero initial condition
• Finding a control parameter in a one-dimensional parabolic inverse problem by using the Bernstein Galerkin method
• A free boundary problem of parabolic complex equation
• A free boundary problem of diffusion equation with integral condition
• A new analytical method for solving systems of Volterra integral equations
• The Determination of a Parabolic Equation from Initial and Final Data
• Mathematical modelling of comedo ductal carcinoma in situ of the breast
• Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement
• A free boundary problem arising from DCIS mathematical model
• Models for the Growth of a Solid Tumor by Diffusion
• Linear integral equations
• Determination of a control parameter in the two-dimensional diffusion equation

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