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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 61, 2012 - Issue 5
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Original Articles

The Method of Particular Solutions for Solving Inverse Problems of a Nonhomogeneous Convection-Diffusion Equation with Variable Coefficients

Tongsong Jiang Department of Mathematics, Linyi Normal University, Linyi, Shandong, P.R. China
,
Ming Li Department of Mathematics, Taiyuan University of Technology, Taiyuan, P.R. ChinaCorrespondence[email protected]
&
C. S. Chen Department of Mathematics, University of Southern Mississippi, Hattiesburg, Mississippi, USA
Pages 338-352 | Received 02 Nov 2010, Accepted 03 Nov 2011, Published online: 09 Feb 2012

Citations (17)

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AjitK. Parwani, Prabal Talukdar & P.M. V. Subbarao. (2014) A Hybrid Approach Using CGM and DE Algorithm for Estimation of Boundary Heat Flux in a Parallel Plate Channel. Numerical Heat Transfer, Part A: Applications 65:5, pages 461-481.
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Articles from other publishers (16)

Jen-Yi Chang, Ru-Yun Chen & Chia-Cheng Tsai. (2022) Hermite Method of Approximate Particular Solutions for Solving Time-Dependent Convection-Diffusion-Reaction Problems. Mathematics 10:2, pages 188.
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Ji Lin, Yuhui Zhang, Sergiy Reutskiy & Wenjie Feng. (2021) A novel meshless space-time backward substitution method and its application to nonhomogeneous advection-diffusion problems. Applied Mathematics and Computation 398, pages 125964.
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Mohammed Hamaidi, Ahmed Naji & Ahmed Taik. (2021) Solving Parabolic and Hyperbolic Equations with Variable Coefficients Using Space-Time Localized Radial Basis Function Collocation Method. Modelling and Simulation in Engineering 2021, pages 1-13.
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Jen-Yi Chang, Ru-Yun Chen & Chia-Cheng Tsai. (2020) Symmetric method of approximate particular solutions for solving certain partial differential equations. Engineering Analysis with Boundary Elements 119, pages 105-118.
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Ling De Su & V. I. Vasil’ev. (2019) Identification of the spacewise dependent right-hand side in one-dimensional parabolic equation. Journal of Physics: Conference Series 1392:1, pages 012087.
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Xingxing Yue, Fajie Wang, Qingsong Hua & Xiang-Yun Qiu. (2019) A novel space–time meshless method for nonhomogeneous convection–diffusion equations with variable coefficients. Applied Mathematics Letters 92, pages 144-150.
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Zhaolu Tian, Xinxiang Li, C.M. Fan & C.S. Chen. (2018) The method of particular solutions using trigonometric basis functions. Journal of Computational and Applied Mathematics 335, pages 20-32.
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Ji Lin, C. S. Chen & Chein-Shan Liu. (2016) Fast Solution of Three-Dimensional Modified Helmholtz Equations by the Method of Fundamental Solutions. Communications in Computational Physics 20:2, pages 512-533.
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A.R. Lamichhane, D.L. Young & C.S. Chen. (2016) Fast method of approximate particular solutions using Chebyshev interpolation. Engineering Analysis with Boundary Elements 64, pages 290-294.
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Chia-Ming Fan, Chi-Hung Yang & Wei-Shiang Lai. (2015) Numerical solutions of two-dimensional flow fields by using the localized method of approximate particular solutions. Engineering Analysis with Boundary Elements 57, pages 47-57.
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Zhuo-Jia Fu, Wen Chen & Leevan Ling. (2015) Method of approximate particular solutions for constant- and variable-order fractional diffusion models. Engineering Analysis with Boundary Elements 57, pages 37-46.
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Ji Lin, Wen Chen & C.S. Chen. (2014) A new scheme for the solution of reaction diffusion and wave propagation problems. Applied Mathematical Modelling 38:23, pages 5651-5664.
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Ziwu Jiang, Lingde Su & Tongsong Jiang. (2014) A Meshfree Method for Numerical Solution of Nonhomogeneous Time-Dependent Problems. Abstract and Applied Analysis 2014, pages 1-11.
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Huantian Xie, Dingfang Li & Feng Li. (2013) A New Numerical Method of Particular Solutions for Inhomogeneous Burgers’ Equation. Mathematical Problems in Engineering 2013, pages 1-7.
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Hongxue Chu & Tongsong Jiang. 2013. Information Computing and Applications. Information Computing and Applications 584 592 .
Ling De Su, Zi Wu Jiang & Tong Song Jiang. 2013. Information Computing and Applications. Information Computing and Applications 140 149 .

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