On the solutions of nonlinear higher-order boundary value problems by using differential transformation method and adomian decomposition method.
We study higher-order boundary value problems (HOBVP) for higher-order nonlinear differential equation. We make comparison among differential transformation method (DTM), Adomian decomposition method (ADM), and exact solutions. We provide several examples in order to compare our results. We extend a...
| Main Authors: | Kilicman, Adem, Che Hussin, Che Haziqah |
|---|---|
| Format: | Article |
| Language: | English English |
| Published: |
Hindawi Publishing Corporation
2011
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/24863/ http://psasir.upm.edu.my/id/eprint/24863/1/On%20the%20solutions%20of%20nonlinear%20higher.pdf |
Similar Items
Numerical solutions of linear and nonlinear higher-order boundary value problems by differential transformation method and Adomian decomposition method
by: Che Hussin, Che Haziqah
Published: (2011)
by: Che Hussin, Che Haziqah
Published: (2011)
On the solution of fractional order nonlinear boundary value problems by using differential transformation method.
by: Kilicman, Adem, et al.
Published: (2011)
by: Kilicman, Adem, et al.
Published: (2011)
An algorithm for positive solution of boundary value problems
of nonlinear fractional differential equations by Adomian
decomposition method
by: A. I., Md. Ismail, et al.
Published: (2016)
by: A. I., Md. Ismail, et al.
Published: (2016)
Comparing linear and nonlinear differential equations of differential transformation method by other numerical methods
by: Che Hussin, Che Haziqah, et al.
Published: (2013)
by: Che Hussin, Che Haziqah, et al.
Published: (2013)
Analytical solutions of nonlinear Schrodinger equations using multistep modified reduced differential transform method
by: Che Hussin, Che Haziqah, et al.
Published: (2018)
by: Che Hussin, Che Haziqah, et al.
Published: (2018)
Differential transformation method for solving sixth-order boundary value problems of ordinary differential equations
by: Che Hussin, Che Haziqah, et al.
Published: (2016)
by: Che Hussin, Che Haziqah, et al.
Published: (2016)
On higher-order boundary value problems by using differential transformation method with convolution terms
by: Kilicman, Adem, et al.
Published: (2014)
by: Kilicman, Adem, et al.
Published: (2014)
Three-dimensional laplace adomian decomposition method and singular pseudoparabolic equations
by: Eltayeb, Hassan, et al.
Published: (2021)
by: Eltayeb, Hassan, et al.
Published: (2021)
Solution of predator-prey problem by multistage Adomian decomposition method
by: Chowdhury, Md. Sazzad Hossien
Published: (2007)
by: Chowdhury, Md. Sazzad Hossien
Published: (2007)
Approximate analytical solutions of nonlinear Korteweg-de vries equations using multistep modified reduced differential transform method
by: Che Hussin, Che Haziqah, et al.
Published: (2020)
by: Che Hussin, Che Haziqah, et al.
Published: (2020)
The multistage Adomian Decomposition Method for solving chaotic Lü System
by: Razali, Nur Isnida, et al.
Published: (2013)
by: Razali, Nur Isnida, et al.
Published: (2013)
The modified Adomian decomposition method for solving
Chaotic Lü system
by: Razali, Nur Iznida, et al.
Published: (2012)
by: Razali, Nur Iznida, et al.
Published: (2012)
A comparison between the modified homotopy perturbation method and adomian decomposition method for solving nonlinear heat transfer equations
by: Chowdhury, Md. Sazzad Hossien
Published: (2011)
by: Chowdhury, Md. Sazzad Hossien
Published: (2011)
Application of differential transform method on nonlinear integro-differential equations with proportional delay
by: Abazari, Reza, et al.
Published: (2014)
by: Abazari, Reza, et al.
Published: (2014)
Analytical solutions of non-linear Klein-Gordon equations using multistep modified reduced differential transform method
by: Che Hussin, Che Haziqah, et al.
Published: (2019)
by: Che Hussin, Che Haziqah, et al.
Published: (2019)
Solving linear and non-linear stiff system of ordinary differential equations by multistage adomian decomposition method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2015)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2015)
The adomian decomposition method for avascular tumour model with a necrotic core
by: Mahiddin, Norhasimah
Published: (2016)
by: Mahiddin, Norhasimah
Published: (2016)
Solitary wave solutions with compact support for the nonlinear dispersive K (m,n) equations by using approximate analytical method
by: Che Hussin, Che Haziqah, et al.
Published: (2021)
by: Che Hussin, Che Haziqah, et al.
Published: (2021)
Multi-Step Modified Differential Transform Methods For Hyperbolic Partial Differential Equations
by: Che Hussin, Che Haziqah
Published: (2020)
by: Che Hussin, Che Haziqah
Published: (2020)
Solutions to mathematical model of tumour growth via adomian decomposition and homotophy perturbation methods / Norhasimah binti Mahiddin
by: Mahiddin, Norhasimah
Published: (2013)
by: Mahiddin, Norhasimah
Published: (2013)
Analytical solutions of boundary values problem of 2D and 3D Poisson and biharmonic equations by homotopy decomposition method
by: Atangana, Abdon, et al.
Published: (2013)
by: Atangana, Abdon, et al.
Published: (2013)
Approximate Analytical Solutions for Mathematical Model of Tumour Invasion and Metastasis Using Modified Adomian Decomposition and Homotopy Perturbation Methods
by: Norhasimah Mahiddin,, et al.
Published: (2014)
by: Norhasimah Mahiddin,, et al.
Published: (2014)
On solutions of matrix initial value problems by using differential transform method and convolution
by: Altun, Omer, et al.
Published: (2013)
by: Altun, Omer, et al.
Published: (2013)
Application of Sumudu decomposition method to solve nonlinear system Volterra integrodifferential equations
by: Eltayeb, Hassan, et al.
Published: (2014)
by: Eltayeb, Hassan, et al.
Published: (2014)
Solutions of higher order boundary value problems by homotopy perturbation method
by: Razali, NurIsnida, et al.
Published: (2014)
by: Razali, NurIsnida, et al.
Published: (2014)
Solutions of higher order boundary value problems by homotopy perturbation method
by: Razali, Nur Isnida, et al.
Published: (2016)
by: Razali, Nur Isnida, et al.
Published: (2016)
Assessment of decomposition method for linear and nonlinear
fractional differential equations
by: Abdulaziz, O., et al.
Published: (2007)
by: Abdulaziz, O., et al.
Published: (2007)
Perbandingan antara kaedah penguraian adomian multiperingkat (multistage adomian decomposition method [MADM]) dengan kaedah lelaran bervariasi multiperingkat (multistage variational iteration method [MVIM]) / Mat Salim Selamat
by: Selamat, Mat Salim
Published: (2008)
by: Selamat, Mat Salim
Published: (2008)
Approximate analytical solutions of bright pptical soliton for nonlinear schrödinger equation of power law nonlinearity
by: Che Hussin, Che Haziqah, et al.
Published: (2021)
by: Che Hussin, Che Haziqah, et al.
Published: (2021)
Numerical solution of nonlinear fredholm integro-differential equations using spectral homotopy analysis method
by: Atabakan, Z. Pashazadeh, et al.
Published: (2013)
by: Atabakan, Z. Pashazadeh, et al.
Published: (2013)
Positive solutions of singular boundary value problems for systems of nonlinear fourth order differential equations
by: Liu, L., et al.
Published: (2008)
by: Liu, L., et al.
Published: (2008)
A comparison on solutions of fifth-order boundary-value problems
by: Akgul, Ali, et al.
Published: (2016)
by: Akgul, Ali, et al.
Published: (2016)
A new hybrid non-standard finite difference-adomian scheme for solution of nonlinear equations
by: Moaddy .K,, et al.
Published: (2011)
by: Moaddy .K,, et al.
Published: (2011)
Solving higher order delay differential equations with boundary conditions using multistep block method
by: Jaafar, Nur Tasnem
Published: (2021)
by: Jaafar, Nur Tasnem
Published: (2021)
Multiple monotone positive solutions for higher order differential equations with integral boundary conditions
by: Hao, X., et al.
Published: (2014)
by: Hao, X., et al.
Published: (2014)
Positive solutions of higher-order nonlinear fractional differential equations with changing-sign measure
by: Wu, J., et al.
Published: (2012)
by: Wu, J., et al.
Published: (2012)
Transformation methods in the study of nonlinear partial differential equations
by: Sophocleous, Christodoulos
Published: (1991)
by: Sophocleous, Christodoulos
Published: (1991)
Nonlinear multigrid methods for second order differential operators with nonlinear diffusion coefficient
by: Brabazon, Keeran J., et al.
Published: (2014)
by: Brabazon, Keeran J., et al.
Published: (2014)
Wavelet analysis method for solving linear and nonlinear singular boundary value problems
by: Nasab, A. Kazemi, et al.
Published: (2013)
by: Nasab, A. Kazemi, et al.
Published: (2013)
On the solutions of three-point boundary value problems using variational-fixed point iteration method
by: Kilicman, Adem, et al.
Published: (2016)
by: Kilicman, Adem, et al.
Published: (2016)
Similar Items
-
Numerical solutions of linear and nonlinear higher-order boundary value problems by differential transformation method and Adomian decomposition method
by: Che Hussin, Che Haziqah
Published: (2011) -
On the solution of fractional order nonlinear boundary value problems by using differential transformation method.
by: Kilicman, Adem, et al.
Published: (2011) -
An algorithm for positive solution of boundary value problems
of nonlinear fractional differential equations by Adomian
decomposition method
by: A. I., Md. Ismail, et al.
Published: (2016) -
Comparing linear and nonlinear differential equations of differential transformation method by other numerical methods
by: Che Hussin, Che Haziqah, et al.
Published: (2013) -
Analytical solutions of nonlinear Schrodinger equations using multistep modified reduced differential transform method
by: Che Hussin, Che Haziqah, et al.
Published: (2018)