Research Explorer

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Project

Computational methods for inverse problems formulated on stationary and moving domains

Outputs and Outcomes

Publications

An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion-reaction equations with fixed delay

M.A. ZakyKarel Van BockstalT.R. TahaD. SuraganA.S. Hendy

A1 Journal Article in JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Space-dependent variable-order time-fractional wave equation : existence and uniqueness of its weak solution

Karel Van BockstalA.S. HendyM.A. Zaky

A1 Journal Article in QUAESTIONES MATHEMATICAE

On the existence and uniqueness of solutions to a nonlinear variable order time-fractional reaction–diffusion equation with delay

Karel Van BockstalMahmoud A. ZakyAhmed S. Hendy

A1 Journal Article in COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

Finite element method for the reconstruction of a time-dependent heat source in isotropic thermoelasticity systems of type-III

Karel Van BockstalLiviu Marin

A1 Journal Article in ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

Uniqueness for inverse source problems of determining a space-dependent source in thermoelastic systems

Frederick MaesKarel Van Bockstal

A1 Journal Article in JOURNAL OF INVERSE AND ILL-POSED PROBLEMS

A solely time-dependent source reconstruction in a multiterm time-fractional order diffusion equation with non-smooth solutions

A. S. HendyKarel Van Bockstal

A1 Journal Article in NUMERICAL ALGORITHMS

On a reconstruction of a solely time-dependent source in a time-fractional diffusion equation with non-smooth solutions

A. S. HendyKarel Van Bockstal

A1 Journal Article in JOURNAL OF SCIENTIFIC COMPUTING

A space-time discretization for an electromagnetic problem with moving non-magnetic conductor

Van Chien LeMarian SlodickaKarel Van Bockstal

A1 Journal Article in APPLIED NUMERICAL MATHEMATICS

Existence of a weak solution to a nonlinear induction hardening problem with Leblond–Devaux model for a steel workpiece

Van Chien LeMarian SlodickaKarel Van Bockstal

A1 Journal Article in COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

A full discretization for the saddle-point approach of a degenerate parabolic problem involving a moving body

Van Chien LeMarian SlodickaKarel Van Bockstal

A1 Journal Article in APPLIED MATHEMATICS LETTERS

Uniqueness for inverse source problems of determining a space-dependent source in time-fractional equations with non-smooth solutions

Karel Van Bockstal

A1 Journal Article in FRACTAL AND FRACTIONAL

Existence of a unique weak solution to a non-autonomous time-fractional diffusion equation with space-dependent variable order

Karel Van Bockstal

A1 Journal Article in ADVANCES IN DIFFERENCE EQUATIONS

Thermoelastic problem in the setting of dual-phase-lag heat conduction : existence and uniqueness of a weak solution

Frederick MaesKarel Van Bockstal

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

A time discrete scheme for an electromagnetic contact problem with moving conductor

Van Chien LeMarian SlodickaKarel Van Bockstal

A1 Journal Article in APPLIED MATHEMATICS AND COMPUTATION

Error estimates for the time discretization of an electromagnetic contact problem with moving non-magnetic conductor

Van Chien LeMarian SlodickaKarel Van Bockstal

A1 Journal Article in COMPUTERS & MATHEMATICS WITH APPLICATIONS

Existence of a unique weak solution to a nonlinear non-autonomous time-fractional wave equation (of distributed-order)

Karel Van Bockstal

A1 Journal Article in MATHEMATICS

Existence and uniqueness of a weak solution to a non-autonomous time-fractional diffusion equation (of distributed order)

Karel Van Bockstal

A1 Journal Article in APPLIED MATHEMATICS LETTERS

The reconstruction of a solely time-dependent load in a simply supported non-homogeneous Euler–Bernoulli beam

Marijke GrimmonprezLiviu MarinKarel Van Bockstal

A1 Journal Article in APPLIED MATHEMATICAL MODELLING

Identification of an unknown spatial load distribution in a vibrating beam or plate from the final state

Karel Van Bockstal

A1 Journal Article in JOURNAL OF INVERSE AND ILL-POSED PROBLEMS

Uniqueness for an inverse source problem of determining a space dependent source in a time-fractional diffusion equation

Marian SlodickaKatarina ŠiškováKarel Van Bockstal

A1 Journal Article in APPLIED MATHEMATICS LETTERS