Pindza, EdsonMba, Jules ClementMare, EbenMoubandjo, Desiree2017-09-282017-09-282016Pindza, E., Mba, J.C., Maré, E. & Moubandjo, D. 2016, 'A lagrange regularized kernel method for solving multi-dimensional time-fractional heat equations', International Journal of Nonlinear Sciences and Numerical Simulation, vol. 18, no. 1, pp. 93-102.1565-1339 (print)2191-0294 (online)10.1515/ijnsns-2016-0089http://hdl.handle.net/2263/62528Evolution equations containing fractional derivatives can provide suitable mathematical models for describing important physical phenomena. In this paper, we propose an accurate method for numerical solutions of multi-dimensional time-fractional heat equations. The proposed method is based on a fractional exponential integrator scheme in time and the Lagrange regularized kernel method in space. Numerical experiments show the effectiveness of the proposed approach.enDe Gruyter Open AccessLocal spectral methodsLagrange regularized kernelTime-fractional diffusion equationsExponential integratorsA lagrange regularized kernel method for solving multi-dimensional time-fractional heat equationsArticle