Exact traveling wave solutions of density-dependent conformable space–time-fractional diffusion–reaction equation with quadratic nonlinearity
Sign Up to like & getrecommendations! Published in 2019 at "Indian Journal of Physics"
DOI: 10.1007/s12648-019-01597-2
Abstract: By using improved F-expansion method (IFEM), we study density-dependent space–time-fractional diffusion–reaction equation with quadratic nonlinearity (DDFDRE), which arises in mathematical biology. The fractional derivative is described in the sense of the CF derivative. Exact traveling… read more here.
Keywords: fractional diffusion; density dependent; time fractional; diffusion reaction ... See more keywords
Modeling of steep layers in singularly perturbed diffusion–reaction equation via flexible fine-scale basis
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DOI: 10.1016/j.cma.2020.113343
Abstract: Abstract We present a new stabilized method for the diffusion–reaction equation which develops sharp boundary and/or internal layers for the reaction-dominated case (i.e. singularly perturbed case). The method relies on an improved expression for the… read more here.
Keywords: fine scale; diffusion reaction; reaction equation; reaction ... See more keywords
Stability of solutions of control problems for the convection–diffusion–reaction equation with a strong nonlinearity
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DOI: 10.1134/s0012266117040073
Abstract: We consider a boundary control problem for the stationary convection–diffusion–reaction equation in which the reaction constant depends on the concentration of matter in such a way that the equation has a fifth-order nonlinearity. We prove… read more here.
Keywords: convection diffusion; control; diffusion reaction; reaction ... See more keywords