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Jang, Ming-Jyi; Chen, Chieh-Li; Liy, Yung-Chin

On solving the initial-value problems using the differential transformation method. (English) Zbl 1023.65065

Appl. Math. Comput. 115, No. 2-3, 145-160 (2000).
Summary: Initial-value problems are solved by the differential transformation method. The differential transformation method of fixed grid size is used to approximate solutions of linear and nonlinear initial-value problems. An adaptive grid size mechanism based on the fixed grid size technique is also proposed. The proposed adaptive grid size procedure provides concise adjustment policy and raises computational efficiency of using differential transformation method.

Cited in 1 Review
Cited in 49 Documents

MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
65L50 Mesh generation, refinement, and adaptive methods for ordinary differential equations

Keywords:

adaptive step-size; stiff equation; initial-value problems; differential transformation method
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\textit{M.-J. Jang} et al., Appl. Math. Comput. 115, No. 2--3, 145--160 (2000; Zbl 1023.65065)
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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.