Functions and Analysis


Numerical Solution of Linear, Nonhomogeneous Differential Equation Systems via Padé Approximation

Authors: Kenneth C. Johnson

This paper generalizes an earlier investigation of linear differential equation solutions via Padé approximation (viXra:1509.0286), for the case of nonhomogeneous equations. Formulas are provided for Padé polynomial orders 1, 2, 3, and 4, for both constant-coefficient and functional-coefficient cases. The scale-and-square algorithm for the constant-coefficient case is generalized for nonhomogeneous equations. Implementation details including step size initialization and tolerance control are discussed.

Comments: 22 Pages. [v8] Revised Appendix B

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Submission history

[v1] 2016-11-01 01:50:33
[v2] 2016-11-29 23:00:31
[v3] 2016-11-30 17:18:29
[v4] 2016-12-13 20:10:43
[v5] 2016-12-16 18:53:00
[v6] 2016-12-19 03:02:40
[v7] 2016-12-21 02:06:40
[v8] 2017-01-15 23:03:42

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