Salah M. El‐Sayed

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All published works

Action	Title	Year	Authors
+	Iterative Algorithms for the Linear Matrix Equation X + A*XA = I and Some Properties	2014	Sana’a A. Zarea Salah M. El‐Sayed Amal A. S. Al-Marshdy
+	On positive definite solutions of the nonlinear matrix equation X - A*X^nA = I	2014	Sana’a A. Zarea Salah M. El‐Sayed
+	Numerical Solutions of Coupled Nonlinear Evolution Equations via El-gendi Nodal Galerkin Method	2014	M. El-Kady Salah M. El‐Sayed Heba. Salem
+ PDF Chat	Positive Definite Solutions for the System of Nonlinear Matrix Equations <i>X</i> + <i>A<sup></sup>Y<sup>-n</sup>A</i> = <i>I</i>, <i>Y</i> + <i>B<sup></sup>X<sup>-m</sup>B</i> = <i>I</i>	2014	Salah M. El‐Sayed Asmaa M. Al-Dubiban
+	Positive Definite Solutions for the System of	2014	Salah M. El‐Sayed Asmaa M. Al-Dubiban
+ PDF Chat	Development of Galerkin Method for Solving the Generalized Burger's-Huxley Equation	2013	M. El-Kady Salah M. El‐Sayed H. E. Fathy
+	Chebyshev and Legendre via Galerkin method for solving KdV Burgers' equation	2013	H. E. Fathy M. El-Kady Salah M. El‐Sayed
+ PDF Chat	SPLINE FINITE DIFFERENCE METHOD FOR A CLASS OF BOUNDARY-VALUE PROBLEMS	2012	Islam Ullah Khan Tariq Aziz Arshad Khan Salah M. El‐Sayed
+	On the Positive Definite Solutions of the Nonlinear Matrix Equation X-A^{}X^{-s}A-B^{}X^{-t}B=I	2012	Asmaa M. Al-Dubiban Salah M. El‐Sayed
+	On positive definite solution of a nonlinear matrix equation	2006	Zhenyun Peng Salah M. El‐Sayed
+	Iterative methods for the extremal positive definite solution of the matrix equation <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>X</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mi>α</mml:mi></mml:mrow></mml:msup><mml:mi>A</mml:mi><mml:mo>=</mml:mo><mml:mi>Q</mml:mi></mml:math>	2006	Zhenyun Peng Salah M. El‐Sayed Xianglin Zhang
+	On Iterative Solution of a Kind of Nonlinear Matrix Equations	2006	Salah M. El‐Sayed
+	On the positive definite solutions of nonlinear matrix equation X+A⋆ X−δA=Q	2005	Vejdi I. Hasanov Salah M. El‐Sayed
+	A numerical solution and an exact explicit solution of the NLS equation	2005	Salah M. El‐Sayed Dogˇan Kaya
+	A numerical implementation of the decomposition method for the Lienard equation	2005	Dogˇan Kaya Salah M. El‐Sayed
+	Iterative methods for nonlinear matrix equations X+A⋆X−αA=I	2005	Salah M. El‐Sayed Milko G. Petkov
+	Higher order pseudospectral differentiation matrices	2004	Elsayed M.E. Elbarbary Salah M. El‐Sayed
+	A new inversion free iteration for solving the equation<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>X</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mo>★</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:mi>A</mml:mi><mml:mo>=</mml:mo><mml:mi>Q</mml:mi></mml:math>	2004	Salah M. El‐Sayed Asmaa M. Al-Dbiban
+	A direct method for solving circulant tridiagonal block systems of linear equations	2004	Salah M. El‐Sayed
+	Exact and numerical traveling wave solutions of Whitham–Broer–Kaup equations	2004	Salah M. El‐Sayed Dogˇan Kaya
+	Local Convergence of the Interior-Point Newton Method for General Nonlinear Programming	2004	Mahmoud El-Alem Salah M. El‐Sayed B. El-Sobky
+	The Decomposition Method Applied to Solve High-order Linear Volterra-Fredholm Integro-differential Equations	2004	Salah M. El‐Sayed Doǧan Kaya Sana’a A. Zarea
+	On the numerical solution of the system of two-dimensional Burgers' equations by the decomposition method	2003	Salah M. El‐Sayed Doǧan Kaya
+	The decomposition method for solving (2+1)-dimensional Boussinesq equation and (3+1)-dimensional KP equation	2003	Salah M. El‐Sayed Doǧan Kaya
+	An application of the ADM to seven-order Sawada–Kotara equations	2003	Salah M. El‐Sayed Doǧan Kaya
+	Numerical soliton-like solutions of the potential Kadomtsev–Petviashvili equation by the decomposition method	2003	Doǧan Kaya Salah M. El‐Sayed
+	An algorithm for computing positive definite solutions of the nonlinear matrix equation<i>X</i> + <i>A</i>*<i>X</i><sup>−1</sup><i>A</i> = <i>I</i>	2003	Salah M. El‐Sayed
+	A numerical solution of the Klein–Gordon equation and convergence of the decomposition method	2003	Doǧan Kaya Salah M. El‐Sayed
+	A numerical method for solving Jaulent–Miodek equation	2003	Doǧan Kaya Salah M. El‐Sayed
+	Adomian's decomposition method applied to systems of nonlinear algebraic equations	2003	Doǧan Kaya Salah M. El‐Sayed
+	A numerical simulation and explicit solutions of the generalized Burgers–Fisher equation	2003	Doǧan Kaya Salah M. El‐Sayed
+ PDF Chat	A two-sided iterative method for computing positive definite solutions of a nonlinear matrix equation	2003	Salah M. El‐Sayed
+	The decomposition method for studying the Klein–Gordon equation	2003	Salah M. El‐Sayed
+	An application of the decomposition method for the generalized KdV and RLW equations	2003	Doǧan Kaya Salah M. El‐Sayed
+	On the solution of the coupled Schrödinger–KdV equation by the decomposition method	2003	Doǧan Kaya Salah M. El‐Sayed
+	On positive definite solutions of the nonlinear matrix equation X+A★X−nA=I	2003	Salah M. El‐Sayed Asmaa M. Al-Dbiban
+	Comparing numerical methods for Helmholtz equation model problem	2003	Salah M. El‐Sayed Doǧan Kaya
+	On a generalized fifth order KdV equations	2003	Doǧan Kaya Salah M. El‐Sayed
+	Restrictive Chebyshev rational approximation and applications to heat-conduction problems	2002	Elsayed M.E. Elbarbary Salah M. El‐Sayed I. K. Youssef Ahmed M. M. Khodier
+	A comparison of Adomian's decomposition method and wavelet-Galerkin method for solving integro-differential equations	2002	Salah M. El‐Sayed Mohammedi R. Abdel‐Aziz
+	The modified decomposition method for solving nonlinear algebraic equations	2002	Salah M. El‐Sayed
+	Integral methods for computing solutions of a class of singular two-point boundary value problems	2002	Salah M. El‐Sayed
+	Some properties for the existence of a positive definite solution of matrix equation X+A★X−2mA=I	2002	Salah M. El‐Sayed Mahmoud El-Alem
+	On an Iteration Method for Solving a Class of Nonlinear Matrix Equations	2002	Salah M. El‐Sayed André C. M. Ran
+	A new modification of the Adomian decomposition method for linear and nonlinear operators	2001	Abdul‐Majid Wazwaz Salah M. El‐Sayed
+	Two iteration processes for computing positive definite solutions of the equation X - A*X−nA = Q	2001	Salah M. El‐Sayed
+	On the existence of a positive definite solution of the matrix equation	2001	Salah M. El‐Sayed Mohamed A. Ramadan
+	A multi-integral method for a class of singular two-point boundary value problems	2001	Salah M. El‐Sayed Mohammedi R. Abdul-Aziz
+	POSITIVE DEFINITE SOLUTIONS OF A FAMILY OF NONLINEAR MATRIX EQUATIONS	1999	Salah M. El‐Sayed
+	Sensitivity analysis of the largest dependent eigenvalue functions of eigensystems	1999	Mohammedi R. Abdel‐Aziz Salah M. El‐Sayed
+	Multi-integral methods for nonlinear boundary-value problems	1999	Salah M. El‐Sayed
+	Properties of positive definite solutions of the equation X + A∗XA = I	1998	Ivan Ivanov Salah M. El‐Sayed
+	A new modification of the Rojo method for solving symmetric circulant five-diagonal systems of linear equations	1998	Salah M. El‐Sayed Ivan Ivanov Milko G. Petkov

Common Coauthors

Coauthor	Papers Together
Doǧan Kaya	10
M. El-Kady	3
Doğan Kaya	3
Asmaa M. Al-Dubiban	3
Sana’a A. Zarea	3
Dogˇan Kaya	3
Mahmoud El-Alem	2
Asmaa M. Al-Dbiban	2
Mohammedi R. Abdel‐Aziz	2
Milko G. Petkov	2
Elsayed M. E. Elbarbary	2
Ivan Ivanov	2
Zhenyun Peng	2
H. E. Fathy	2
Arshad Khan	1
Abdul Samad Khan	1
André C. M. Ran	1
Xianglin Zhang	1
I. K. Youssef	1
Tariq Aziz	1
Mohamed A. Ramadan	1
Ahmed M. M. Khodier	1
B. El-Sobky	1
Mohammedi R. Abdul-Aziz	1
Vejdi I. Hasanov	1
Amal A. S. Al-Marshdy	1
Abdul–Majid Wazwaz	1
Heba. Salem	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Solving Frontier Problems of Physics: The Decomposition Method	1994	George Adomian	19
+	On the existence of a positive definite solution of the matrix equation X+ATX−1A= I	1993	Jacob Engwerda	18
+	Positive solutions to X = A−BX-1 B∗	1990	William N. Anderson T. D. Morley George E. Trapp	16
+	Decomposition methods: A new proof of convergence	1993	Y. Cherruault G. Adomian	13
+	Properties of positive definite solutions of the equation X + A∗XA = I	1998	Ivan Ivanov Salah M. El‐Sayed	13
+	On the solution of a korteweg-de vries like equation by the decomposition method	1999	Doǧan Kaya	13
+	An application of the decomposition method for the generalized KdV and RLW equations	2003	Doǧan Kaya Salah M. El‐Sayed	12
+	New numerical study of Adomian method applied to a diffusion model	2002	N. Ngarhasta Blaise Somé K. Abbaoui Y. Cherruault	12
+	An application for a generalized KdV equation by the decomposition method	2002	Doǧan Kaya Mohammed Aassila	12
+	A new formulation of Adomian method	2001	K. Abbaoui M.J. Pujol Y. Cherruault N. Himoun P. Grimalt	12
+	Iterative solution of two matrix equations	1999	Chun‐Hua Guo Peter Lancaster	11
+	New ideas for proving convergence of decomposition methods	1995	K. Abbaoui Y. Cherruault	11
+ PDF Chat	Necessary and sufficient conditions for the existence of a positive definite solution of the matrix equation X +A∗X-1A = Q	1993	Jacob Engwerda André C. M. Ran Arie L. Rijkeboer	11
+	Partial differential equations : methods and applications	2002	Abdul–Majid Wazwaz	9
+	On an Iteration Method for Solving a Class of Nonlinear Matrix Equations	2002	Salah M. El‐Sayed André C. M. Ran	9
+	Convergence of Adomian's method applied to differential equations	1994	K. Abbaoui Y. Cherruault	9
+	Computing the Extremal Positive Definite Solutions of a Matrix Equation	1996	Xingzhi Zhan	8
+	Adomian's polynomials for nonlinear operators	1996	Virginie Seng K. Abbaoui Y. Cherruault	8
+	Partial differential equations: Methods and applications	2003		8
+	On a generalized fifth order KdV equations	2003	Doǧan Kaya Salah M. El‐Sayed	8
+	Convergence of Adomian's Method	1989	Y. Cherruault	8
+	Nonlinear dynamical systems: On the accuracy of adomian's decomposition method	1990	A. Répaci	7
+	A reliable modification of Adomian decomposition method	1999	Abdul‐Majid Wazwaz	7
+	An application of the decomposition method for second order wave equations	2000	Doǧan Kaya	7
+	On the matrix equation X + ATX−1A = I	1996	Xingzhi Zhan Jianjun Xie	7
+	A new algorithm for calculating adomian polynomials for nonlinear operators	2000	Abdul‐Majid Wazwaz	6
+	<i>Partial Differential Equations for Scientists and Engineers</i>	1985	Stanley J. Farlow Stephen F. Becker	6
+	Algebraic Riccati Equations	2006	Peter Lancaster Leiba Rodman	6
+	An explicit and numerical solutions of some fifth-order KdV equation by decomposition method	2003	Doǧan Kaya	6
+	On the existence of a positive definite solution of the matrix equation	2001	Salah M. El‐Sayed Mohamed A. Ramadan	5
+	Solitary wave solutions for a generalized Hirota–Satsuma coupled KdV equation	2003	Doǧan Kaya	5
+	Some properties for the existence of a positive definite solution of matrix equation X+A★X−2mA=I	2002	Salah M. El‐Sayed Mahmoud El-Alem	5
+	Solutions and perturbation estimates for the matrix equations	2003	Vejdi I. Hasanov Ivan Ivanov	5
+	A new modification of the Adomian decomposition method for linear and nonlinear operators	2001	Abdul‐Majid Wazwaz Salah M. El‐Sayed	5
+ PDF Chat	Explicit solutions of generalized nonlinear Boussinesq equations	2001	Doǧan Kaya	5
+	A study of nonlinear dispersive equations with solitary-wave solutions having compact support	2001	Abdul‐Majid Wazwaz	4
+	Convergence of Adomian's method applied to nonlinear equations	1994	K. Abbaoui Y. Cherruault	4
+ PDF Chat	On the Matrix Equation <i>X</i>′<i>X</i> = <i>A</i>	1962	John E. Maxfield Henryk Minc	4
+	Equality of partial solutions in the decomposition method for linear or nonlinear partial differential equations	1990	G. Adomian Randolph Rach	4
+	Numerical steady state and Hopf bifurcation analysis on the diffusive Nicholson's blowflies equation	2000	Joseph W.-H. So Jian Wu Yuanjie Yang	4
+	Practical formulae for the calculus of multivariable adomian polynomials	1995	K. Abbaoui Y. Cherruault Virginie Seng	4
+	Analytical approximations and Padé approximants for Volterra's population model	1999	Abdul‐Majid Wazwaz	3
+	Finite difference methods for a class of singular two-point boundary-value problems	1989	Rakesh K. Jain Pragya Jain	3
+	A First Course in Integral Equations	1997	Abdul‐Majid Wazwaz	3
+	Iterative solutions to non-linear fourth order differential equations through multi-integral methods	1989	Rakesh Kumar Sharma Chaitan P. Gupta	3
+	Hermitian solutions of the equation X = Q + NX−1N∗	1996	Augusto Ferrante Bernard C. Levy	3
+	A comparison between Adomian's decomposition methods and perturbation techniques for nonlinear random differential equations	1985	Nicola Bellomo Roberto Monaco	3
+	An automated tanh-function method for finding solitary wave solutions to non-linear evolution equations	1996	E.J. Parkes B. R. Duffy	3
+	Positive definite solutions of the matrix equations X±A*X−qA=Q	2005	Vejdi I. Hasanov	3
+	On positive definite solutions of the family of matrix equations <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si21.gif" overflow="scroll"><mml:mi>X</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:msup><mml:mi>A</mml:mi><mml:mo>=</mml:mo><mml:mi>Q</mml:mi></mml:math>	2005	Ivan Ivanov	3