Explicit Runge–Kutta methods for the numerical solution of linear inhomogeneous IVPs

Montijano, J.I. (Universidad de Zaragoza) ; Rández, L. (Universidad de Zaragoza) ; Calvo, M. (Universidad de Zaragoza)

Resumen: Runge–Kutta methods for the numerical solution of inhomogeneous linear initial value problems with constant coefficients are considered. A general procedure to construct explicit s-stage RK methods with order s, for the class of IVP under consideration, depending on the nodes ci,i=1,…,s is presented. This procedure only requires the solution of successive linear equations in the elements of the matrix A and avoids the solution of non linear equations. We obtain several RK schemes with number of stages s=5,…,8 and maximal order p=s for the class of problems under consideration. Finally, some numerical experiments to test the behaviour of the new RK schemes are presented.

Idioma: Inglés

DOI: 10.1016/j.cam.2023.115083

Año: 2023

Publicado en: Journal of Computational and Applied Mathematics 425 (2023), 115083 [17 pp.]
ISSN: 0377-0427

Factor impacto JCR: 2.1 (2023)

Categ. JCR: MATHEMATICS, APPLIED rank: 53 / 332 = 0.16 (2023) - Q1 - T1

Factor impacto CITESCORE: 5.4 - Computational Mathematics (Q1) - Applied Mathematics (Q1)

Factor impacto SCIMAGO: 0.858 - Computational Mathematics (Q2) - Applied Mathematics (Q2)

Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2019-109045GB-C31

Tipo y forma: Artículo (PostPrint)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)