Runge-Kutta methods without order reduction for linear initial boundary value problems
Copyright policy )Runge-Kutta methods without order reduction for linear initial boundary value problems
The author presents a numerical solution scheme for the Runga-Kutta method for linear initial boundary value problems. A number of theorems and lemmas are presented for a theoretical foundation of the proposed problem. Numerical examples are also presented to confirm the optimal order of the solution.
- University of Valladolid Spain
Method of lines for initial value and initial-boundary value problems involving PDEs, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, numerical examples, Linear differential equations in abstract spaces, linear initial boundary value problem, semidiscretization, Runge-Kutta method, Initial value problems for second-order parabolic equations
Method of lines for initial value and initial-boundary value problems involving PDEs, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, numerical examples, Linear differential equations in abstract spaces, linear initial boundary value problem, semidiscretization, Runge-Kutta method, Initial value problems for second-order parabolic equations
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