A Comparison between New Iterative Solutions of Non-linear Oscillator Equation

Iterative methods for solving non linear Fokker-Planck equation

Iterative solutions to the linear matrix equation

In this paper the gradient based iterative algorithm is presented to solve the linear matrix equation AXB +CXD = E, where X is unknown matrix, A,B,C,D,E are the given constant matrices. It is proved that if the equation has a solution, then the unique minimum norm solution can be obtained by choosing a special kind of initial matrices. Two numerical examples show that the introduced iterative a...

A New Two-stage Iterative Method for Linear Systems and Its Application in Solving Poisson's Equation

In the current study we investigate the two-stage iterative method for solving linear systems. Our new results shows which splitting generates convergence fast in iterative methods. Finally, we solve the Poisson-Block tridiagonal matrix from Poisson's equation which arises in mechanical engineering and theoretical physics. Numerical computations are presented based on a particular linear system...

Iterative Solutions to a Coupled System of Non-linear Fractional Differential Equation

In this article we investigate the existence of extremal(maximal and minimal) solutions for the following coupled system of integrodifferential equations of fractional order with the given boundary conditions of the form  Du(t) + f1(t, v(t), I v(t)) = 0, 0 < t < 1, Dv(t) + f2(t, u(t), I u(t)) = 0, 0 < t < 1, u(0) = 0, u′(1) = 0, v(0) = 0, v′(1) = 0. where 1 < α, β ≤ 2 and f1, f2 : [0, 1] × ...

iterative methods for solving non linear fokker-planck equation