Analytical Solution of Some Nonlinear Fractional Integro-Differential Equations of the Fredholm Second Kind by a New Approximation Technique of the Numerical Sba Method

Comparative Study of the SBA and MOL Methods. Application to Some Systems of Nonlinear Partial Differential Equations

“…The parameters θ1 = .05; θ2 = 1.5; ζ = 0.5 are considered for the demonstration The solutions give by the application of SBA method ([9], [10], [11], [12]) give u (x, t) = |θ1 cos x + θ2 sin x| exp(|1 − ζ| t) and v (x, t) = − |θ1 cos x + θ2 sin x| exp(|1 − ζ| t) wich can be used for the comparison of our method.…”

“…To achieve this, we need to eliminate the space variable by discretization and retain the time variable, thus creating an ordinary differential equation. The Somé Blaise Abbo(SBA) method ([9], [10], [11], [12]) is an efficient algorithm used by researchers to solve partial differential equations and ordinary differential equations. This method meets the challenges of Adomian polynomial calculations.…”