RT Journal Article
T1 Numerical Solution of Stieltjes Differential Equations
A1 Fernández Fernández, Francisco Javier
A1 Fernández Tojo, Fernando Adrián
K1 Stieltjes ordinary differential equation
K1 Lebesgue–Stieltjes quadrature formulae
K1 Predictor-corrector method
AB This work is devoted to the obtaining of a new numerical scheme based on quadrature formulae for the Lebesgue–Stieltjes integral for the approximation of Stieltjes ordinary differential equations. This novel method allows us to numerically approximate models based on Stieltjes ordinary differential equations for which no explicit solution is known. We prove several theoretical results related to the consistency, convergence, and stability of the numerical method. We also obtain the explicit solution of the Stieltjes linear ordinary differential equation and use it to validate the numerical method. Finally, we present some numerical results that we have obtained for a realistic population model based on a Stieltjes differential equation and a system of Stieltjes differential equations with several derivators
PB MDPI
YR 2020
FD 2020
LK http://hdl.handle.net/10347/23637
UL http://hdl.handle.net/10347/23637
LA eng
NO Fernández, F.J.; Tojo, F.A.F. Numerical Solution of Stieltjes Differential Equations. Mathematics 2020, 8, 1571
NO Consellería de Cultura, Educación e Ordenación Universitaria, Xunta de Galicia: ED431C 2019/2, Ministerio de Economía, Industria y Competitividad, Gobierno de España: MTM2016-75140-P
DS Minerva
RD 24 abr 2026