Author(s)

Pirooz Mohazzabi, Jennifer L. Becker

Department of Mathematics and Physics, University of Wisconsin-Parkside, Kenosha, WI, USA.

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.

Taylor Series, Expansion, Algorithm, Numerical Solution, Differential Equations

Mohazzabi, P. and L. Becker, J. (2017) Numerical Solution of Differential Equations by Direct Taylor Expansion. Journal of Applied Mathematics and Physics, 5, 623-630. doi: 10.4236/jamp.2017.53053.