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International Journal of Computer Mathematics Volume 89, 2012 - Issue 11: PROCEEDINGS OF THE 8TH UK CONFERENCE ON BOUNDARY INTEGRAL METHODS, JULY 4TH–5TH, 2011, HELD AT THE UNIVERSITY OF LEEDS, UK
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Section B

A method of fundamental solutions for radially symmetric and axisymmetric backward heat conduction problems

B. Tomas Johansson School of Mathematics, University of Birmingham, Birmingham, B15 2TT, UKCorrespondence[email protected]
,
Daniel Lesnic Department of Applied Mathematics, University of Leeds, Leeds, LS2 9JT, UK
&
Thomas Reeve School of Mathematics, University of Birmingham, Birmingham, B15 2TT, UK
Pages 1555-1568 | Received 10 Aug 2011, Accepted 06 Mar 2012, Published online: 03 May 2012

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Nguyen Huy Tuan, Vo Anh Khoa, Mai Thanh Nhat Truong, Tran The Hung & Mach Nguyet Minh. (2019) Application of the cut-off projection to solve a backward heat conduction problem in a two-slab composite system. Inverse Problems in Science and Engineering 27:4, pages 460-483.
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Daniel Lesnic. (2012) Proceedings of the 8th UK Conference on Boundary Integral Methods, July 4th–5th, 2011, held at the University of Leeds, UK. International Journal of Computer Mathematics 89:11, pages 1446-1447.
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Articles from other publishers (10)

Chengxin Shi, Hao Cheng & Wenping Fan. (2023) An iterative generalized quasi-boundary value regularization method for the backward problem of time fractional diffusion-wave equation in a cylinder. Numerical Algorithms 94:4, pages 1619-1651.
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Nguyen Huy Tuan, Tomás Caraballo & Tran Ngoc Thach. (2023) Stochastic fractional diffusion equations containing finite and infinite delays with multiplicative noise. Asymptotic Analysis 133:1-2, pages 227-254.
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Chengxin Shi, Hao Cheng & Xiaoxiao Geng. (2023) The backward problem for an inhomogeneous time-fractional diffusion-wave equation in an axis-symmetric cylinder. Computers & Mathematics with Applications 137, pages 44-60.
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NGUYEN DUC PHUONG, LUU VU CAM HOAN, DUMITRU BALEANU & ANH TUAN NGUYEN. (2023) TERMINAL VALUE PROBLEM FOR STOCHASTIC FRACTIONAL EQUATION WITHIN AN OPERATOR WITH EXPONENTIAL KERNEL. Fractals.
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Vinh Quang Mai, Erkan Nane, Donal O'Regan & Nguyen Huy Tuan. (2022) Terminal value problem for nonlinear parabolic equation with Gaussian white noise. Electronic Research Archive 30:4, pages 1374-1413.
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Nguyen Huy Tuan, Daniel Lesnic, Tran Ngoc Thach & Tran Bao Ngoc. (2021) Regularization of the backward stochastic heat conduction problem. Journal of Inverse and Ill-posed Problems 0:0.
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A. Hajiollow, Y. Lotfi, K. Parand, A. H. Hadian, K. Rashedi & J. A. Rad. (2020) Recovering a moving boundary from Cauchy data in an inverse problem which arises in modeling brain tumor treatment: the (quasi)linearization idea combined with radial basis functions (RBFs) approximation. Engineering with Computers 37:3, pages 1735-1749.
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Mohammed Elmustafa Amin & Xiangtuan Xiong. (2019) Source identification problems for radially symmetric and axis-symmetric heat conduction equations. Applied Numerical Mathematics 138, pages 1-18.
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Kamal Rashedi & Aydin Sarraf. (2018) Heat source identification of some parabolic equations based on the method of fundamental solutions. The European Physical Journal Plus 133:10.
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Vo Van Au & Nguyen Huy Tuan. (2017) Identification of the initial condition in backward problem with nonlinear diffusion and reaction. Journal of Mathematical Analysis and Applications 452:1, pages 176-187.
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