TITLE:
Numerical Solution of Differential Equations by Direct Taylor Expansion
AUTHORS:
Pirooz Mohazzabi, Jennifer L. Becker
KEYWORDS:
Taylor Series, Expansion, Algorithm, Numerical Solution, Differential Equations
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.5 No.3,
March
22,
2017
ABSTRACT: A variation of the direct Taylor expansion algorithm is suggested and applied to several linear and nonlinear differential equations of interest in physics and engineering, and the results are compared with those obtained from other algorithms. It is shown that the suggested algorithm competes strongly with other existing algorithms, both in accuracy and ease of application, while demanding a shorter computation time.