Initial value problems and two-point boundary value problems for nonlinear pantograph type differential equations are investigated by presenting a new iterative numerical method based on constructing a sequence of splines that converges to the solution. The convergence of the method was proved by providing an error estimate and is tested on some numerical experiments.
CITATION STYLE
Bica, A. M., Curila, M., & Curila, S. (2019). Spline Iterative Method for Pantograph Type Functional Differential Equations. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 11386 LNCS, pp. 159–166). Springer Verlag. https://doi.org/10.1007/978-3-030-11539-5_16
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