A new hybrid non-standard finite difference-adomian scheme for solution of nonlinear equations

QR Code

A new hybrid non-standard finite difference-adomian scheme for solution of nonlinear equations

This research develops a new non-standard scheme based on the Adomian decomposition method (ADM) to solve nonlinear equations. The ADM was adopted to solve the nonlinear differential equation resulting from the discretization of the differential equation. The new scheme does not need to linearize or...

Full description

Bibliographic Details
Main Authors:	Moaddy .K, Hashim .I, Alomari .A.K, Momani .S
Format:	Article
Language:	English
Published:	Universiti Kebangsaan Malaysia 2011
Online Access:	http://journalarticle.ukm.my/2493/ http://journalarticle.ukm.my/2493/1/16_Moaddy_K.pdf

Similar Items

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)

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)

On the solutions of nonlinear higher-order boundary value problems by using differential transformation method and adomian decomposition method.
by: Kilicman, Adem, et al.
Published: (2011)

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)

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

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

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)

Oscillation of solutions of some generalized nonlinear α-difference equations
by: Manuel , Mariasebastin Maria Susai, et al.
Published: (2014)

Approximate solution of nonlinear system of integral equations
by: Eshkuvatov, Zainidin K., et al.
Published: (2010)

Comparison of a Pseudo-Spectral Method and an implicit finite difference scheme for the solution of a nonlinear dynamic problem.
by: Jameel, Ahmed Tariq
Published: (2011)

Numerical Solution Of Nonlinear Schrödinger Equations Based On B-Spline Galerkin Finite Element Method
by: Iqbal, Azhar
Published: (2020)

Approximate analytical solutions of the Klein-Gordon equation by means of the homotopy analysis method
by: A.K. Alomari,, et al.
Published: (2008)

Solving the volterra integral form of the lane emden equations by homotopy perturbation method and adomian decompostion method
by: Baharom, Fairuz Bahirah
Published: (2017)

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)

The iterative solutions of nonlinear fractional differential equations
by: Zhang, Xinguang, et al.
Published: (2013)

Approximate Solution of the System of Nonlinear Integral Equations
by: Hazaimeh, Oday Shafiq
Published: (2010)

On hybrid type nonlinear fractional integrodifferential equations
by: Damag, Faten Hasan Mohammed, et al.
Published: (2020)

A Study Of Several Explicit Finite Difference Schemes For The Linear Convection Equation
by: Abdullah, Norul Huda
Published: (2007)

B-Splines Based Finite Difference Schemes For Fractional Partial Differential Equations
by: Akram, Tayyaba
Published: (2020)

Approximate analytical solutions of bright pptical soliton for nonlinear schrödinger equation of power law nonlinearity
by: Che Hussin, Che Haziqah, et al.
Published: (2021)

On the solution of multi-dimensional nonlinear integral equation with modified newton method
by: Hameed, Hameed Husam, et al.
Published: (2017)

Localized solutions of extended discrete nonlinear schrödinger equation
by: Umarov, Bakhram A., et al.
Published: (2017)

Linear homotopy solution of nonlinear systems of equations in geodesy
by: Palancz, B., et al.
Published: (2010)

Numerical solution of integrals and nonlinear integral equations by wavelets
by: Abdul Sathar, Mohammad Hasan
Published: (2016)

Approximate solution of the system of nonlinear integral equation by Newton–Kantorovich method
by: Eshkuratov, Zainidin K., et al.
Published: (2010)

Solutions to mathematical model of tumour growth via adomian decomposition and homotophy perturbation methods / Norhasimah binti Mahiddin
by: Mahiddin, Norhasimah
Published: (2013)

The multistage Adomian Decomposition Method for solving chaotic Lü System
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)

Exact solution for linear and nonlinear systems of PDEs by Homotopy-Perturbation method.
by: Chowdhury, M.S.H., et al.
Published: (2011)

An optimally efficient technique for the solution of systems of nonlinear parabolic partial differential equations
by: Yang, Feng-Wei, et al.
Published: (2017)

Nonlinear integral equations and its relations with differential equations
by: Eshkuvatov, Zainidin K.
Published: (2010)

Instability and stability of solutions of systems of nonlinear stochastic difference equations with diagonal noise
by: Dokuchaev, Nikolai, et al.
Published: (2013)

Iterative solution for nonlinear impulsive advection- reaction-diffusion equations
by: Hao, X., et al.
Published: (2016)

General 2 × 2 system of nonlinear integral equations and its approximate solution
by: Eshkuvatov, Z. K., et al.
Published: (2019)

The adomian decomposition method for avascular tumour model with a necrotic core
by: Mahiddin, Norhasimah
Published: (2016)

Uniqueness solution of the finite elements scheme for symmetric hyperbolic systems with variable coefficients
by: Djuraevich, Aloev Raxmatillo, et al.
Published: (2016)

Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation
by: Elfaghi, Abdulhafid M., et al.
Published: (2009)

Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation
by: M. Elfaghi, Abdulhafid, et al.
Published: (2009)

On solution of Fredholm integrodifferential equations using composite Chebyshev finite difference method
by: Atabakan, Zohreh Pashazadeh, et al.
Published: (2013)

Numerical Solution of Infinite and Finite Boundary Integral Equations by Polynomials
by: Abdul Sathar, Mohammad Hasan
Published: (2010)