Article ID: MTJPAM-D-22-00004

Title: Sin single-step rational method for the numerical solution of initial value problems


Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-22-00004; Volume 5 / Issue 2 / Year 2023, Pages 6-15

Document Type: Research Paper

Author(s): Pramod Kumar Pandey a , Sathyendar Sreepada b

aDepartment of Mathematics, Dyal Singh College (University of Delhi), Lodhi Road, New Delhi-110003, India

bMathematics Unit, School of Foundation, Bahrain Polytechnic, Isa Town, PO Box-33349, Kingdom of Bahrain

Received: 16 February 2022, Accepted: 26 September 2023, Published: 25 October 2023

Corresponding Author: Pramod Kumar Pandey (Email address: pramod_10p@hotmail.com)

Full Text: PDF

Abstract

In this article, a sin single-step rational method for the numerical numerical solution of the first order differential equation and corresponding initial value problems has been proposed. Also, the consistency and stability of the proposed second order implicit, non-linear method are discussed. The development of the method is based on the local representation of the solution by the sin-rational fraction. Numerical examples are considered to establish the theoretical development of the method and illustrate the computational accuracy and efficiency.

Keywords: Initial value problems, single-step method, rational method, second order method, sin-rational method

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