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
Sign Up to like & getrecommendations! Published in 2020 at "Computer Methods in Applied Mechanics and Engineering"
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
Some novel exact and non-standard finite difference schemes for a class of diffusion–advection–reaction equation
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2024.2359106
Abstract: In this paper, a generalized diffusion–advection–reaction equation (GDARE) is considered and by using the solitary wave solution two new class of exact finite difference (EFD) schemes are proposed under certain functional relationship between the temporal… read more here.
Keywords: reaction equation; advection reaction; non standard; finite difference ... 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