An energy regularization of the MQ-RBF method for solving the Cauchy problems of diffusion-convection-reaction equations (Q2206114)

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English	An energy regularization of the MQ-RBF method for solving the Cauchy problems of diffusion-convection-reaction equations	scientific article

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title

An energy regularization of the MQ-RBF method for solving the Cauchy problems of diffusion-convection-reaction equations (English)

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Communications in Nonlinear Science and Numerical Simulation

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publication date

21 October 2020

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zbMATH Keywords

steady-state diffusion-convection-reaction equation

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inverse Cauchy problem

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energy regularization technique

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energy RBF (ERBF) method

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source points

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cnsns.2018.07.002

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cites work

A meshless radial basis function method for 2D steady-state heat conduction problems in anisotropic and inhomogeneous media

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A meshless radial basis function method for steady-state advection-diffusion-reaction equation in arbitrary 2D domains

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Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations

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Recent advances on radial basis function collocation methods

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On the increasingly flat radial basis function and optimal shape parameter for the solution of elliptic PDEs

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Optimal constant shape parameter for multiquadric based RBF-FD method

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Multiquadric and its shape parameter -- a numerical investigation of error estimate, condition number, and round-off error by arbitrary precision computation

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An algorithm with \(m\)-step residual history for solving linear equations: data interpolation by a multi-shape-factors RBF

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A multiple-scale MQ-RBF for solving the inverse Cauchy problems in arbitrary plane domain

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Conjugate gradient-boundary element solution to the Cauchy problem for Helmholtz-type equations

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Q4865485

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Robust Numerical Methods for Singularly Perturbed Differential Equations

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BEM solution for the Cauchy problem associated with Helmholtz-type equations by the Landweber method

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Tikhonov type regularization method for the Cauchy problem of the modified Helmholtz equation

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Quasi-reversibility and truncation methods to solve a Cauchy problem for the modified Helmholtz equation

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Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators

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A radial basis meshless method for solving inverse boundary value problems

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Direct solution of ill-posed boundary value problems by radial basis function collocation method

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Trefftz energy method for solving the Cauchy problem of the Laplace equation

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An energy method of fundamental solutions for solving the inverse Cauchy problems of the Laplace equation

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Q3600402

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Q3686256

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Identifiers

DOI

10.1016/j.cnsns.2018.07.002

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:2206114