Wusu, A.S.; Olabanjo, O.A.; Mazzara, M. Two-Parameter Exponentially Fitted Taylor Method for Oscillatory/Periodic Problems. Mathematics2022, 10, 4768.
Wusu, A.S.; Olabanjo, O.A.; Mazzara, M. Two-Parameter Exponentially Fitted Taylor Method for Oscillatory/Periodic Problems. Mathematics 2022, 10, 4768.
Wusu, A.S.; Olabanjo, O.A.; Mazzara, M. Two-Parameter Exponentially Fitted Taylor Method for Oscillatory/Periodic Problems. Mathematics2022, 10, 4768.
Wusu, A.S.; Olabanjo, O.A.; Mazzara, M. Two-Parameter Exponentially Fitted Taylor Method for Oscillatory/Periodic Problems. Mathematics 2022, 10, 4768.
Abstract
Classical numerical methods for solving ordinary differential equations often produce less accurate results when applied to problems with oscillatory or periodic behaviour. To adapt them for such problems, they are usually modified using the exponential fitting technique. This adaptation allows for the construction of new methods from their classical counterparts. The new methods are usually more accurate, efficient and suitable for handling the oscillatory or periodic behaviour of the problem. In this work, we construct a two-parameter exponentially-fitted Taylor method suitable for solving oscillatory or periodic problems that possess two frequencies. The construction algorithm is based on a proposed six-step flowchart discussed by authors in related literature. Two standard test problems were used to illustrate the accuracy and performance of the proposed method.
Keywords
Taylor; exponentially-fitted; two-parameter; periodic; oscillatory; frequency
Subject
Computer Science and Mathematics, Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
