Network


Latest external collaboration on country level. Dive into details by clicking on the dots.

Hotspot


Dive into the research topics where Abdul-Majid Wazwaz is active.

Publication


Featured researches published by Abdul-Majid Wazwaz.


TAEBC-2009 | 2009

Partial Differential Equations and Solitary Waves Theory

Abdul-Majid Wazwaz

Partial Differential Equations.- Basic Concepts.- First-order Partial Differential Equations.- One Dimensional Heat Flow.- Higher Dimensional Heat Flow.- One Dimensional Wave Equation.- Higher Dimensional Wave Equation.- Laplaces Equation.- Nonlinear Partial Differential Equations.- Linear and Nonlinear Physical Models.- Numerical Applications and Pade Approximants.- Solitons and Compactons.- Solitray Waves Theory.- Solitary Waves Theory.- The Family of the KdV Equations.- KdV and mKdV Equations of Higher-orders.- Family of KdV-type Equations.- Boussinesq, Klein-Gordon and Liouville Equations.- Burgers, Fisher and Related Equations.- Families of Camassa-Holm and Schrodinger Equations.


Applied Mathematics and Computation | 1999

A reliable modification of Adomian decomposition method

Abdul-Majid Wazwaz

In this paper we propose a powerful modification of Adomian decomposition method that will accelerate the rapid convergence of the series solution. The validity of the modified technique is verified through illustrative examples. In all cases of differential and integral equations, we obtained excellent performance from the modified algorithm. The modification could lead to a promising approach for many applications in applied sciences.


Applied Mathematics and Computation | 2000

A new algorithm for calculating adomian polynomials for nonlinear operators

Abdul-Majid Wazwaz

In this paper, a reliable technique for calculating Adomian polynomials for nonlinear operators will be developed. The new algorithm offers a promising approach for calculating Adomian polynomials for all forms of nonlinearity. The algorithm will be illustrated by studying suitable forms of nonlinearity. A nonlinear evolution model will be investigated.


Mathematical and Computer Modelling | 2004

A sine-cosine method for handlingnonlinear wave equations

Abdul-Majid Wazwaz

In this paper, we establish exact solutions for nonlinear wave equations. A sine-cosine method is used for obtaining traveling wave solutions for these models with minimal algebra. The method is applied to selected physical models to illustrate the usage of our main results.


Archive | 1997

A first course in integral equations

Abdul-Majid Wazwaz

Classifications of Integral Equations Fredholm Integral Equations Volterra Integral Equations Fredholm Integro-Differential Equations Volterra Integro-Differential Equations Singular Integral Equations Nonlinear Fredholm Integral Equations Nonlinear Volterra Integral Equations Applications of Integral Equations


Applied Mathematics and Computation | 2004

The tanh method for traveling wave solutions of nonlinear equations

Abdul-Majid Wazwaz

In this work we employ the tanh method for traveling wave solutions of nonlinear equations. The study is extended to equations that do not have tanh polynomial solutions. The efficiency of the method is demonstrated by applying it for a variety of selected equations.


Applied Mathematics and Computation | 2001

A new algorithm for solving differential equations of Lane-Emden type

Abdul-Majid Wazwaz

In this paper, a reliable algorithm is employed to investigate the differential equations of Lane-Emden type. The algorithm rests mainly on the Adomian decomposition method with an alternate framework designed to overcome the difficulty of the singular point. The proposed framework is applied to a generalization of Lane-Emden equations so that it can be used in differential equations of the same type.


Applied Mathematics and Computation | 2002

A new method for solving singular initial value problems in the second-order ordinary differential equations

Abdul-Majid Wazwaz

Singular initial value problems, linear and nonlinear, homogeneous and nonhomogeneous, are investigated by using Adomian decomposition method. The solutions are constructed in the form of a convergent series. A new general formula is established. The approach is illustrated with few examples.


Applied Mathematics and Computation | 2001

A new modification of the Adomian decomposition method for linear and nonlinear operators

Abdul-Majid Wazwaz; Salah M. El-Sayed

In this paper we present an efficient modification of the Adomian decomposition method that will facilitate the calculations. We then conduct a comparative study between the new modification and the modified decomposition method. The study is conducted through illustrative examples. The new modification introduces a promising tool for many linear and nonlinear models.


Chaos Solitons & Fractals | 2002

New solitary-wave special solutions with compact support for the nonlinear dispersive K(m,n) equations

Abdul-Majid Wazwaz

The genuinely nonlinear dispersive K(m,n) equation, ut+(um)x+(un)xxx=0, which exhibits compactons: solitons with compact support, is investigated. New solitary-wave solutions with compact support are developed. The specific cases, K(2,2) and K(3,3), are used to illustrate the pertinent features of the proposed scheme. An entirely new general formula for the solution of the K(m,n) equation is established, and the existing general formula is modified as well.

Collaboration


Dive into the Abdul-Majid Wazwaz's collaboration.

Top Co-Authors

Avatar
Top Co-Authors

Avatar
Top Co-Authors

Avatar

Jun-Sheng Duan

Shanghai Institute of Technology

View shared research outputs
Top Co-Authors

Avatar
Top Co-Authors

Avatar

Muhammad Asif Zahoor Raja

COMSATS Institute of Information Technology

View shared research outputs
Top Co-Authors

Avatar

Lakhveer Kaur

Jaypee Institute of Information Technology

View shared research outputs
Top Co-Authors

Avatar

Randhir Singh

Indian Institute of Technology Kharagpur

View shared research outputs
Top Co-Authors

Avatar
Top Co-Authors

Avatar

S.A. Khuri

University of Houston–Downtown

View shared research outputs
Top Co-Authors

Avatar

Floyd B. Hanson

University of Illinois at Chicago

View shared research outputs
Researchain Logo
Decentralizing Knowledge