Results 51 to 60 of about 49,802 (165)
On the solutions of fractional reaction-diffusion equations
Le Matematiche, 2013 In this paper, we obtain the solution of a fractional reaction-diffusion equation associated with the generalized Riemann-Liouville fractional derivative as the time derivative and Riesz-Feller fractional derivative as the space-derivative.
Jagdev Singh +2 more
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Fractal and FractionalDiffusion equations play a crucial role in various scientific and technological domains, including mathematical biology, physics, electrical engineering, and mathematics. This article presents a new formulation of the diffusion equation in the context of
Anjuman, Andrew Y. T. Leung, Subir Das
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Analysis of Cauchy reaction-diffusion equations involving Atangana-Baleanu fractional operator
Partial Differential Equations in Applied MathematicsThis study investigates the Cauchy reaction-diffusion equation (CRDE) with the Atangana-Baleanu differential operator. The existence and uniqueness of solutions to fractional starting value issues are begun using the fixed-point theorem and contraction ...
Hassan Kamil Jassim, Ali Latif Arif
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Discrete monotone method for space-fractional nonlinear reaction–diffusion equations
Advances in Difference Equations, 2019 A discrete monotone iterative method is reported here to solve a space-fractional nonlinear diffusion–reaction equation. More precisely, we propose a Crank–Nicolson discretization of a reaction–diffusion system with fractional spatial derivative of the ...
Salvador Flores +2 more
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Ratio MathematicaIn this paper, to develop monotone method for non-linear system of Riemann-Liouville (R-L) reaction-diffusion equations with initial and boundary conditions.
Pandurang D. Kundgar, Jagdish A. Nanware
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Application of operator splitting to solve reaction-diffusion equations
Electronic Journal of Qualitative Theory of Differential Equations, 2012 Approximate solutions of systems of semilinear ordinary differential equations obtained by different splitting methods are investigated. The local error in the numerical solution of such semilinear problems is evaluated.
T. Ladics
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A Feynman Path Integral-like Method for Deriving Reaction-Diffusion Equations. [PDF]
Polymers (Basel), 2022 Li C, Li J, Yang Y.
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On the nonnegatibity of solutions of reaction diffusion equations
Rocky Mountain Journal of Mathematics, 1987 Consider the system of reaction diffusion equations \[ \partial u/\partial t=A\Delta u+f(u,\nabla_ xu,x,t)\quad (*) \] where A is a \(p\times p\) matrix, u(x,t) is a p-dimensional vector with components \(u^{(j)}(x,t)\), \(j=1,...,p\) and where \((x,t)\in {\mathbb{R}}^ n\times (0,\infty)\).
openaire +2 more sources
Asymptotic structure of time-dependent global attractors for the nonclassical diffusion equations
四川大学学报. 自然科学版, 2016 Nonclassical reaction-diffusion equations mainly stem from non-Newtonian flows, solid mechanics, and heat conduction theories. The longtime behavior and asymptotic structure of solutions to these equations are important. We study the asymptotic structure
WANG Xiao-Ping, MA Qiao-Zhen
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Modeling and Solution of Reaction-Diffusion Equations by Using the Quadrature and Singular Convolution Methods. [PDF]
Arab J Sci Eng, 2023 Ragb O +5 more
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