On the solutions of nonlinear higher-order boundary value problems by using differential transformation method and adomian decomposition method.

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...

Full description

Bibliographic Details
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/24863/1/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)

On the solution of fractional order nonlinear boundary value problems by using differential transformation method.
by: Kilicman, Adem, et al.
Published: (2011)

Adomian decomposition method for solution of fourteenth order boundary value problems
by: Khalid Aasma, et al.
Published: (2023-03-01)

Differential Transformation Method for Solving Sixth-Order Boundary Value Problems of Ordinary Differential Equations
by: Che Haziqah Che Hussin, et al.
Published: (2016)

Differential transformation method for solving sixth-order boundary value problems of ordinary differential equations
by: Che Hussin, Che Haziqah, et al.
Published: (2016)

Analytical solutions of nonlinear Schrodinger equations using multistep modified reduced differential transform method
by: Che Hussin, Che Haziqah, et al.
Published: (2018)

Comparing linear and nonlinear differential equations of differential transformation method by other numerical methods
by: Che Hussin, Che Haziqah, et al.
Published: (2013)

Solving eighth-order boundary value problems using differential transformation method
by: Che Haziqah Che Hussin, et al.
Published: (2014)

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)

A reliable algorithm for positive solutions of nonlinear boundary value problems by the multistage Adomian decomposition method
by: Duan Jun-Sheng, et al.
Published: (2014-11-01)

On higher-order boundary value problems by using differential transformation method with convolution terms
by: Kilicman, Adem, et al.
Published: (2014)

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)

Solitary wave solutions with compact support for the nonlinear dispersive K(m,n) equations by using approximate analytical method
by: Che Haziqah Che Hussin, et al.
Published: (2021)

Solitary wave solutions with compact support for the nonlinear dispersive K(m,n) equations by using approximate analytical method
by: Che Haziqah Che Hussin, et al.
Published: (2021)

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)

Approximate analytical solutions of nonlinear korteweg-de vries equations using multistep modified reduced differential transform method
by: Che Haziqah Che Hussin, et al.
Published: (2020)

Solitary wave solutions for forced nonlinear korteweg-de vries equation by using approximate analytical method
by: Che Haziqah Che Hussin, et al.
Published: (2022)

Three-dimensional laplace adomian decomposition method and singular pseudoparabolic equations
by: Eltayeb, Hassan, et al.
Published: (2021)

Application of Adomian decomposition method to nonlinear systems
by: Wenjin Li, et al.
Published: (2020-02-01)

Application of Adomian Decomposition Method for Sumudu Transform
by: Zafar H. Khan, et al.
Published: (2008-12-01)

On The solution of blasius problem by combined adomian decomposition method-integral transforms /
by: Siti Aisyah Zai Zamri, 1995-, author 639902, et al.
Published: (2019)

On The solution of blasius problem by combined adomian decomposition method-integral transforms /
by: Siti Aisyah Zai Zamri, 1995-, author 639902
Published: (2019)

On The solution of blasius problem by combined adomian decomposition method-integral transforms
by: Zamri, Siti Aisyah Zai
Published: (2019)

Adomian decomposition method for solving nonlinear heat equation /
by: 512376 Shalela Mohd. Mahali, et al.
Published: (2007)

Adomian decomposition method for nonlinear Sturm-Liouville problems
by: Sennur Somali, et al.
Published: (2007-09-01)

Analytical solutions of non-linear Klein-Gordon equations using multistep modified reduced differential transform method
by: Che Hussin, Che Haziqah, et al.
Published: (2019)

Laplace transform and adomian decomposition methods for solving nonlinear volterra integro-differential equations /
by: Zahra Vafaeifar, 1966-, et al.
Published: (2013)

Laplace transform and adomian decomposition methods for solving nonlinear volterra integro-differential equations
by: Vafaeifar, Zahra
Published: (2013)

Solution of infinite horizon nonlinear optimal control problems by piecewise adomian decomposition method
by: Hassan Saberi Nik, et al.
Published: (2013-09-01)

Solution of Second- and Higher-Order Nonlinear Two-Point Boundary-Value Problems Using Double Decomposition Method
by: Nawal AL-Zaid, et al.
Published: (2022-09-01)

A continuous solution of solving a class of nonlineartwo point boundary value problem using Adomian decomposition method
by: I.L. EL-Kalla, et al.
Published: (2019-03-01)

A new Technique For Solving Fractional Nonlinear Equations By Sumudu Transform and Adomian Decomposition Method
by: Maad Gatea Mousa, et al.
Published: (2022-07-01)

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)

Optical soliton perturbation with quadratic-cubic nonlinearity by Adomian decomposition method
by: Asma, Mir, et al.
Published: (2018)

Adomian decomposition method for solving nonlinear fractional delay differential equations
by: Gatea Ali Abdulsada
Published: (2024-01-01)

A new modification of the Adomian decomposition method for nonlinear integral equations
by: Hossein Jafari, et al.
Published: (2014-06-01)

Solution of predator-prey problem by multistage Adomian decomposition method
by: Chowdhury, Md. Sazzad Hossien
Published: (2007)

Solution of fuzzy heat equations using Adomian Decomposition method
by: U. M. Pirzada, et al.
Published: (2015-09-01)

An Approximate Solution to The Newell-Whitehead Equation by Adomian Decomposition Method
by: Saad Manaa
Published: (2011-07-01)

Numerical Solution of Allen – Cahn Equation by Adomian Decomposition Method
by: Abdulghafor Al-Rozbayani
Published: (2014-07-01)