An effective analytical method for fractional Brusselator reaction–diffusion system
Kottakkaran Sooppy Nisar, R. Jagatheeshwari, C. Ravichandran, P. Veeresha
Abstract
In recent years, reaction–diffusion models have attracted researchers for their wide applications. In this article, we consider Brusselator reaction–diffusion system (BRDS), which is known for its cross diffusion and pattern formations in biology and chemistry. We derive an analytical solution of the fractional Brusselator reaction–diffusion system (FBRDS) with the help of the initial condition by a novel method, residual power series method (RPSM). The system solution has been analyzed by graph.
Topics & Concepts
BrusselatorReaction–diffusion systemDiffusionMathematicsResidualGraphApplied mathematicsStatistical physicsMathematical analysisThermodynamicsAlgorithmPhysicsCombinatoricsQuantum mechanicsNonlinear systemFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsNonlinear Dynamics and Pattern Formation