Makale detayı · 2006 · article
Two dimensional differential transform method Adomian s decomposition method and variational iteration method for partial differential equations
Veri kaynağı ayrımı
- YÖKSİSYÖKSİS makale kaydı
- YÖKSİS dergi adıInternational Journal of Computer Mathematics
- Katalog eşleşmesi (ISSN)International Journal of Computer Mathematics
- OpenAlexOpenAlex zenginleştirmesi (özet, atıf, konular)
- Semantic Scholaratıf sayısı (OpenAlex ile birleştirilmez)
Özet
The implementation of the two-dimensional differential transform method (DTM), Adomian's decomposition method (ADM), and the variational iteration method (VIM) in the mathematical applications of partial differential equations is examined in this paper. The VIM has been found to be particularly valuable as a tool for the solution of differential equations in engineering, science, and applied mathematics. The three methods are compared and it is shown that the VIM is more efficient and effective than the ADM and the DTM, and also converges to its exact solution more rapidly. Numerical solutions of two examples are calculated and the results are presented in tables and figures.
Konular
Atıflar
OpenAlex cited_by_count. WoS veya Scopus atıf sayısı değildir; o kaynaklar için ayrı kolon yoktur.
41atıfOpenAlex · cited_by_count (önbellek / veritabanı)
Yerel katalogda bu makaleye atıf yapan 12 yayın (OpenAlex referans eşleşmesi; tam dünya listesi değildir).
- 2009 Reduced Differrential Transform Method for Partial Differential EquationsAtıf 278 · OpenAlex
- 2008 Solutions of integral and integro differential equation systems by using differential transform methodAtıf 170 · OpenAlex
- 2018 Solutions of Partial Differential Equations Using the Fractional Operator Involving Mittag-Leffler KernelAtıf 132 · OpenAlex
- 2018 Solutions of partial differential equations using the fractional operator involving Mittag-Leffler kernel,Atıf 132 · OpenAlex
- 2018 Conformable Derivative Operator in Modelling Neuronal DynamicsAtıf 25 · OpenAlex
- 2018 Conformable Derivative Operator in Modelling Neuronal DynamicsAtıf 25 · OpenAlex
- 2008 On numerical solutions of a new coupled MKdV system by using the Adomian decomposition method and He’xxs variational iteration methodAtıf 20 · OpenAlex
- 2011 Multivariate padé approximation for solving partial differential equations PDEAtıf 14 · OpenAlex
- 2011 Multivariate padé approximation for solving partial differential equations PDEAtıf 14 · OpenAlex
- 2013 Numerical Solution of Partial Differential Algebraic EquationsAtıf 4 · OpenAlex