Browsing by Author "Murakawa, H."

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An efficient linear numerical scheme for the Stefan problem, the porous medium equation and nonlinear cross-diffusion systems

Molati, M.; Murakawa, H. (SPEKTRUM STU Publishing, 2017-12-29)

This paper deals with nonlinear diffusion problems which include the Stefan problem, the porous medium equation and cross-diffusion systems. We provide a linear scheme for these nonlinear diffusion problems. The proposed ...
Exact solutions of nonlinear diffusion-convection-reaction equation: A Lie symmetry analysis approach

Molati, M.; Murakawa, H. (Elsevier, 2019)

We derive some exact solutions of a nonlinear diffusion-convection-reaction equation which models biological, chemical and physical phenomena. The Lie symmetry classification approach is employed to specify the model ...

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