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Samat A. Kassabek, Stanislav N. Kharin & Durvudkhan Suragan. (2021) A heat polynomial method for inverse cylindrical one-phase Stefan problems. Inverse Problems in Science and Engineering 29:13, pages 3423-3450.
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Chein-Shan Liu & Jiang-Ren Chang. (2021) A homogenization method to solve inverse Cauchy–Stefan problems for recovering non-smooth moving boundary, heat flux and initial value. Inverse Problems in Science and Engineering 29:13, pages 2772-2803.
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Kamal Rashedi, Hojatollah Adibi & Mehdi Dehghan. (2014) Determination of space–time-dependent heat source in a parabolic inverse problem via the Ritz–Galerkin technique. Inverse Problems in Science and Engineering 22:7, pages 1077-1108.
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C.M. Fan, Y.C. Liu, H.F. Chan & S.S. Hsiao. (2014) Solutions of boundary detection problem for modified Helmholtz equation by Trefftz method. Inverse Problems in Science and Engineering 22:2, pages 267-281.
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B. Tomas Johansson, Daniel Lesnic & Thomas Reeve. (2014) The method of fundamental solutions for the two-dimensional inverse Stefan problem. Inverse Problems in Science and Engineering 22:1, pages 112-129.
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Mehdi Dehghan, Sohrab Ali Yousefi & Kamal Rashedi. (2013) 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. Inverse Problems in Science and Engineering 21:3, pages 500-523.
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B. Tomas Johansson, Daniel Lesnic & Thomas Reeve. (2013) A meshless method for an inverse two-phase one-dimensional linear Stefan problem. Inverse Problems in Science and Engineering 21:1, pages 17-33.
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Tomas Johansson, Daniel Lesnic & Thomas Reeve. (2012) A method of fundamental solutions for radially symmetric and axisymmetric backward heat conduction problems. International Journal of Computer Mathematics 89:11, pages 1555-1568.
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Edyta Hetmaniok, Iwona Nowak, Damian Słota & Adam Zielonka. (2012) Determination of Optimal Parameters for the Immune Algorithm Used for Solving Inverse Heat Conduction Problems with and without a Phase Change. Numerical Heat Transfer, Part B: Fundamentals 62:6, pages 462-478.
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Graziella Orrù, Erica Ordali, Merylin Monaro, Cristina Scarpazza, Ciro Conversano, Pietro Pietrini, Angelo Gemignani & Giuseppe Sartori. (2023) Reconstructing individual responses to direct questions: a new method for reconstructing malingered responses. Frontiers in Psychology 14.
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Samat A. Kassabek & Durvudkhan Suragan. (2022) Numerical approximation of the one-dimensional inverse Cauchy–Stefan problem using heat polynomials methods. Computational and Applied Mathematics 41:4.
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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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G. M. M. Reddy, P. Nanda, M. Vynnycky & J. A. Cuminato. (2021) An adaptive boundary algorithm for the reconstruction of boundary and initial data using the method of fundamental solutions for the inverse Cauchy–Stefan problem. Computational and Applied Mathematics 40:3.
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Kamal Rashedi. (2020) Designing the Optimal Shape of a Nozzle by the Method of Fundamental Solutions. Iranian Journal of Science and Technology, Transactions A: Science 44:6, pages 1863-1873.
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Lyubomir Boyadjiev, Kamal Rashedi & Mourad Sini. (2019) Estimation of the Time-Dependent Body Force Needed to Exert on a Membrane to Reach a Desired State at the Final Time. Computational Methods in Applied Mathematics 19:2, pages 323-339.
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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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Saeed Sarabadan, Kamal Rashedi & Hojatollah Adibi. (2017) Boundary Determination of the Inverse Heat Conduction Problem in One and Two Dimensions via the Collocation Method Based on the Satisfier Functions. Iranian Journal of Science and Technology, Transactions A: Science 42:2, pages 827-840.
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Jamal Amani Rad, Kamal Rashedi, Kourosh Parand & Hojatollah Adibi. (2016) The meshfree strong form methods for solving one dimensional inverse Cauchy-Stefan problem. Engineering with Computers 33:3, pages 547-571.
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Edyta Hetmaniok, Damian Słota, Roman Wituła & Adam Zielonka. (2015) Solution of the one-phase inverse Stefan problem by using the homotopy analysis method. Applied Mathematical Modelling 39:22, pages 6793-6805.
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Kamal Rashedi, Hojatollah Adibi & Mehdi Dehghan. (2015) Efficient numerical methods for boundary data and right-hand side reconstructions in elliptic partial differential equations. Numerical Methods for Partial Differential Equations 31:6, pages 1995-2026.
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E. Hetmaniok, D. Słota, R. Wituła & A. Zielonka. (2015) An analytical method for solving the two-phase inverse Stefan problem. Bulletin of the Polish Academy of Sciences Technical Sciences 63:3, pages 583-590.
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Kamal Rashedi, Hojatollah Adibi, Jamal Amani Rad & Kourosh Parand. (2014) Application of meshfree methods for solving the inverse one-dimensional Stefan problem. Engineering Analysis with Boundary Elements 40, pages 1-21.
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Edyta Hetmaniok, Damian Słota & Adam Zielonka. (2013) Experimental verification of immune recruitment mechanism and clonal selection algorithm applied for solving the inverse problems of pure metal solidification. International Communications in Heat and Mass Transfer 47, pages 7-14.
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B. Tomas Johansson, Daniel Lesnic & Thomas Reeve. (2012) A method of fundamental solutions for the radially symmetric inverse heat conduction problem. International Communications in Heat and Mass Transfer 39:7, pages 887-895.
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B.T. Johansson, D. Lesnic & T. Reeve. (2011) A comparative study on applying the method of fundamental solutions to the backward heat conduction problem. Mathematical and Computer Modelling 54:1-2, pages 403-416.
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