RK method is the iterative method of finding approximate solution of ordinary differential equation. Runge–Kutta (R–K) methods are the most widely used numerical methods for solving ordinary ...

func: An ordinary differential equation (ODE) as function of x and y. x_initial: The initial value of x. y_initial: The initial value of y. step_size: The increment value of x. x_final: The final ...

Abstract: This paper deals with the stability of Runge–Kutta methods for a class of stiff systems of nonlinear Volterra delay‐integro‐differential equations. Two classes of methods are considered: ...

Department of Mathematics, Lagos State University, Lagos, Nigeria. Department of Mathematics, University of Lagos, Lagos, Nigeria. In recent years, the derivation of Runge-Kutta methods with higher ...

Abstract: The non-linear wave equation is taken as a model problem for the investigation. Different multi-symplectic reformulations of the equation are discussed. Multi-symplectic Runge–Kutta methods ...

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