Adaptive multi-step differential transformation method to solving nonlinear differential equations
From MaRDI portal
Publication:1930993
DOI10.1016/j.mcm.2011.09.001zbMath1255.65135OpenAlexW1981167047MaRDI QIDQ1930993
Ahmet Gökdoğan, Ahmet Yildirim, Mehmet Merdan
Publication date: 24 January 2013
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mcm.2011.09.001
Related Items (9)
Statistical measures approximations for the Gaussian part of the stochastic nonlinear damped Duffing oscillator solution process under the application of Wiener Hermite expansion linked by the multi-step differential transformed method ⋮ Introduction of the differential transform method to solve differential equations at undergraduate level ⋮ A new technique for solving a class of strongly nonlinear oscillatory equations ⋮ On numerical solution to fractional nonlinear oscillatory equations ⋮ Enhanced multistage differential transform method: application to the population models ⋮ Dynamical Study of Fractional Order Tumor Model ⋮ A two-mode coupled Korteweg-de Vries: multiple-soliton solutions and other exact solutions ⋮ Efficient multi-step differential transform method: theory and its application to nonlinear oscillators ⋮ Nonlinear analysis of memcapacitor-based hyperchaotic oscillator by using adaptive multi-step differential transform method
Cites Work
- Unnamed Item
- A numeric-analytic method for approximating the chaotic Chen system
- Generalized differential transform method for solving a space- and time-fractional diffusion-wave equation
- Application of generalized differential transform method to multi-order fractional differential equations
- Application of the differential transformation method to the free vibrations of strongly non-linear oscillators
- Application to differential transformation method for solving systems of differential equations
- Differential transform method applied to high index differential-algebraic equations
- A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor's formula
- Solution of differential-difference equations by using differential transform method
- A multi-step differential transform method and application to non-chaotic or chaotic systems
- Numerical comparison of methods for solving a special fourth-order boundary value problem
- Application of the differential transformation method to the solution of a damped system with high nonlinearity
- Solutions of the system of differential equations by differential transform method
- Solving Riccati differential equation using Adomian's decomposition method
- Solution of different type of the partial differential equation by differential transform method and Adomian's decomposition method
- Differential transform method for solving Volterra integral equation with separable kernels
- A generalized differential transform method for linear partial differential equations of fractional order
- Generalized differential transform method: Application to differential equations of fractional order
- Comparison differential transformation technique with adomian decomposition method for linear and nonlinear initial value problems
- Solution of boundary value problems for integro-differential equations by using differential transform method
- Applications of differential transform methods to differential-algebraic equations
- A uniformly valid asymptotic solution for
This page was built for publication: Adaptive multi-step differential transformation method to solving nonlinear differential equations