Functionally Fitted Block Method for Solving the General Oscillatory Second-Order Initial Value Problems and Hyperbolic Partial Differential Equations

S. N. Jator, F. F. Ngwane and N. O. Kirby

Mathematical Problems in Engineering, 2019, vol. 2019, 1-14

Abstract:

We present a block hybrid functionally fitted Runge–Kutta–Nyström method (BHFNM) which is dependent on the stepsize and a fixed frequency. Since the method is implemented in a block-by-block fashion, the method does not require starting values and predictors inherent to other predictor-corrector methods. Upon deriving our method, stability is illustrated, and it is used to numerically solve the general second-order initial value problems as well as hyperbolic partial differential equations. In doing so, we demonstrate the method’s relative accuracy and efficiency.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:1535430

DOI: 10.1155/2019/1535430

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