Publications
Article · Mathematics · July 7, 2022
Exponentially-Fitted Fourth-Derivative Single-Step Obrechkoff Method for Oscillatory/Periodic Problems
Ashiribo Senapon Wusu, Olusola Aanu Olabanjo, Manuel Mazzara
Abstract
The quest for accurate and more efficient methods for solving periodic/oscillatory problems is gaining more attention in recent time. This paper presents the construction and implementation of a family of exponentially-fitted Obrechkoff methods using a six-step flowchart discussed in the literature. A single-step Obrechkoff method involving terms up to the fourth derivative was used as the base method. We also present the stability and convergence properties of the constructed family of methods. Two numerical examples were used to illustrate the performance of the constructed methods.
Numerical Solvers for Ordinary Differential EquationsSingular Perturbation, Asymptotics and Difference SchemesMathematical functions and polynomialsexponentially fitted methodsone-step methodsoscillatory problems
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