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International Journal of Computer Mathematics Volume 88, 2011 - Issue 2
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Section B

Radial basis functions method for parabolic inverse problem

Limin Ma Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, Shanghai, ChinaCorrespondence[email protected]
&
Zongmin Wu Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, Shanghai, China
Pages 384-395 | Received 28 Sep 2008, Accepted 25 Oct 2009, Published online: 28 Nov 2010

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Fatemeh Ghanadian, Reza Pourgholi & Seyed Hashem Tabasi. (2022) An inverse problem for the damped generalized regularized long wave equation. International Journal of Computer Mathematics 99:7, pages 1395-1427.
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Mehdi Dehghan, Nasim Shafieeabyaneh & Mostafa Abbaszadeh. (2021) A local meshless procedure to determine the unknown control parameter in the multi-dimensional inverse problems. Inverse Problems in Science and Engineering 29:10, pages 1369-1400.
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Yong-Fu Zhang & Chong-Jun Li. (2019) A class of multistep numerical difference schemes applied in inverse heat conduction problem with a control parameter. Inverse Problems in Science and Engineering 27:7, pages 887-942.
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Mojtaba Ranjbar & Mansour Aghazadeh. (2019) Collocation method based on shifted Chebyshev and radial basis functions with symmetric variable shape parameter for solving the parabolic inverse problem. Inverse Problems in Science and Engineering 27:3, pages 369-387.
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Saedeh Foadian, Reza Pourgholi & S. Hashem Tabasi. (2018) Cubic B-spline method for the solution of an inverse parabolic system. Applicable Analysis 97:3, pages 438-465.
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Ahmad Shirzadi. (2017) Numerical solutions of 3D Cauchy problems of elliptic operators in cylindrical domain using local weak equations and radial basis functions. International Journal of Computer Mathematics 94:2, pages 252-262.
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Yong-Fu Zhang & Chong-Jun Li. (2016) A Gaussian RBFs method with regularization for the numerical solution of inverse heat conduction problems. Inverse Problems in Science and Engineering 24:9, pages 1606-1646.
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Akbar Mohebbi & Masoume Abbasi. (2015) A fourth-order compact difference scheme for the parabolic inverse problem with an overspecification at a point. Inverse Problems in Science and Engineering 23:3, pages 457-478.
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Articles from other publishers (8)

Reza Babaee, Ehsan Jabbari, Morteza Eskandari-Ghadi & Naser Khaji. (2022) A new algorithm for shape parameter optimization in the multiquadric method for bending beam and elastic plane BVPs. Archive of Applied Mechanics 92:11, pages 3109-3125.
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Yasaman Lotfi & Kourosh Parand. (2022) Anti-aliasing of gray-scale/color/outline images: Looking through the lens of numerical approaches for PDE-based models. Computers & Mathematics with Applications 113, pages 130-147.
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Reza Pourgholi, Akram Saeedi & Abbas Hosseini. (2017) Determination of Nonlinear Source Term in an Inverse Convection–Reaction–Diffusion Problem Using Radial Basis Functions Method. Iranian Journal of Science and Technology, Transactions A: Science 43:5, pages 2239-2252.
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Reza Pourgholi, S. Hashem Tabasi & Hamed Zeidabadi. (2017) Numerical techniques for solving system of nonlinear inverse problem. Engineering with Computers 34:3, pages 487-502.
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Lihua Wang, Zhihao Qian, Zhen Wang, Yukui Gao & Yongbo Peng. (2018) An Efficient Radial Basis Collocation Method for the Boundary Condition Identification of the Inverse Wave Problem. International Journal of Applied Mechanics 10:01, pages 1850010.
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Reza Pourgholi & Akram Saeedi. (2017) Applications of cubic B-splines collocation method for solving nonlinear inverse parabolic partial differential equations. Numerical Methods for Partial Differential Equations 33:1, pages 88-104.
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K. Parand & J.A. Rad. (2013) Kansa method for the solution of a parabolic equation with an unknown spacewise-dependent coefficient subject to an extra measurement. Computer Physics Communications 184:3, pages 582-595.
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Baiyu Wang & Anping Liao. (2013) A Meshless Method to Determine a Source Term in Heat Equation with Radial Basis Functions. Chinese Journal of Mathematics 2013, pages 1-9.
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