Theoretical Analysis of Nonlinear Equation in Reaction-Diffusion System: Hyperbolic Function Method
Singaravel Anandhar Salai Sivasundari, P. Jeyabarathi, L. Rajendran
Abstract
The nonlinear reactions-diffusion process describes a chemical reaction that involves three species, two reactions, and diffusion. The system of equations coupled with the nonlinear reaction terms with mixed Dirichlet and Neumann boundary conditions is solved analytically. The hyperbolic function method is used an approximate analytical expression of species concentrations. These analytical results are compared with numerical and previous available analytical results and are in good agreement.
Topics & Concepts
Reaction–diffusion systemNonlinear systemMathematicsMathematical analysisDiffusionNeumann boundary conditionFunction (biology)Hyperbolic functionDirichlet boundary conditionDirichlet distributionHyperbolic partial differential equationBoundary value problemApplied mathematicsPartial differential equationPhysicsThermodynamicsBiologyQuantum mechanicsEvolutionary biologyDifferential Equations and Numerical MethodsNonlinear Dynamics and Pattern FormationFractional Differential Equations Solutions