- Home
- Best Scientists - Mathematics
- Ali H. Bhrawy

Mathematics

Egypt

2023

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
60
Citations
9,142
165
World Ranking
390
National Ranking
1

2023 - Research.com Mathematics in Egypt Leader Award

- Mathematical analysis
- Partial differential equation
- Quantum mechanics

Ali H. Bhrawy mainly investigates Mathematical analysis, Nonlinear system, Fractional calculus, Collocation method and Collocation. In his study, which falls under the umbrella issue of Mathematical analysis, Basis function is strongly linked to Algebraic equation. The various areas that Ali H. Bhrawy examines in his Nonlinear system study include Quantum electrodynamics and Birefringence.

His studies in Fractional calculus integrate themes in fields like Jacobi polynomials, Dirichlet boundary condition and Legendre polynomials. His study looks at the relationship between Collocation method and fields such as Variable, as well as how they intersect with chemical problems. His work focuses on many connections between Collocation and other disciplines, such as Orthogonal collocation, that overlap with his field of interest in Equation solving and Degree of a polynomial.

- A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order (226 citations)
- A NEW JACOBI OPERATIONAL MATRIX: AN APPLICATION FOR SOLVING FRACTIONAL DIFFERENTIAL EQUATIONS (218 citations)
- A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations (210 citations)

The scientist’s investigation covers issues in Mathematical analysis, Nonlinear system, Collocation method, Orthogonal collocation and Fractional calculus. His research investigates the connection between Mathematical analysis and topics such as Algebraic equation that intersect with problems in Variable. His Nonlinear system research focuses on Laguerre's method and how it relates to Initial value problem.

His work deals with themes such as Discretization, Algorithm and Collocation, which intersect with Collocation method. His research investigates the connection between Orthogonal collocation and topics such as Numerical partial differential equations that intersect with issues in Exponential integrator and Multigrid method. His Fractional calculus study combines topics in areas such as Operational matrix, Algebraic number, Chebyshev polynomials and Optimal control.

- Mathematical analysis (120.57%)
- Nonlinear system (60.77%)
- Collocation method (52.63%)

- Mathematical analysis (120.57%)
- Fractional calculus (34.45%)
- Legendre polynomials (20.10%)

His primary areas of study are Mathematical analysis, Fractional calculus, Legendre polynomials, Algebraic equation and Orthogonal collocation. His Mathematical analysis study frequently links to other fields, such as Operational matrix. His Fractional calculus study which covers Chebyshev polynomials that intersects with Chebyshev filter and Orthonormal basis.

As a member of one scientific family, he mostly works in the field of Orthogonal collocation, focusing on Jacobi method and, on occasion, Algorithm, Jacobi operator, Rational function and Delay differential equation. His biological study spans a wide range of topics, including Volterra integral equation, Nonlinear system and Spectral method. His Nonlinear system study integrates concerns from other disciplines, such as Initial value problem, Partial differential equation and Ordinary differential equation, Differential equation.

- An improved collocation method for multi-dimensional spacetime variable-order fractional Schrdinger equations (111 citations)
- Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrdinger equations (72 citations)
- A numerical approach based on Legendre orthonormal polynomials for numerical solutions of fractional optimal control problems (52 citations)

- Mathematical analysis
- Partial differential equation
- Algebra

Ali H. Bhrawy mostly deals with Fractional calculus, Mathematical analysis, Collocation method, Nonlinear system and Collocation. His Fractional calculus research is multidisciplinary, relying on both Initial value problem, Quadratic equation and Order of accuracy. His Initial value problem study combines topics from a wide range of disciplines, such as Orthogonal collocation, Partial differential equation and Ordinary differential equation.

His work carried out in the field of Quadratic equation brings together such families of science as Operational matrix, Optimal control, Orthonormal polynomial and Applied mathematics. His Applied mathematics research is multidisciplinary, incorporating elements of Lagrange multiplier and Legendre polynomials. He has included themes like Jacobi polynomials and Variable in his Order of accuracy study.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order

E. H. Doha;A. H. Bhrawy;S. S. Ezz-Eldien.

Computers & Mathematics With Applications **(2011)**

381 Citations

A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order

E. H. Doha;A. H. Bhrawy;S. S. Ezz-Eldien.

Computers & Mathematics With Applications **(2011)**

381 Citations

A NEW JACOBI OPERATIONAL MATRIX: AN APPLICATION FOR SOLVING FRACTIONAL DIFFERENTIAL EQUATIONS

E.H. Doha;A.H. Bhrawy;S.S. Ezz-Eldien.

Applied Mathematical Modelling **(2012)**

332 Citations

A NEW JACOBI OPERATIONAL MATRIX: AN APPLICATION FOR SOLVING FRACTIONAL DIFFERENTIAL EQUATIONS

E.H. Doha;A.H. Bhrawy;S.S. Ezz-Eldien.

Applied Mathematical Modelling **(2012)**

332 Citations

A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations

A.H. Bhrawy;M.A. Zaky.

Journal of Computational Physics **(2015)**

297 Citations

A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations

A.H. Bhrawy;M.A. Zaky.

Journal of Computational Physics **(2015)**

297 Citations

Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations

Eid H Doha;Ali H Bhrawy;S S Ezz-Eldien.

Applied Mathematical Modelling **(2011)**

293 Citations

Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations

Eid H Doha;Ali H Bhrawy;S S Ezz-Eldien.

Applied Mathematical Modelling **(2011)**

293 Citations

Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation

A. H. Bhrawy;A. H. Bhrawy;M. A. Zaky.

Nonlinear Dynamics **(2015)**

244 Citations

Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation

A. H. Bhrawy;A. H. Bhrawy;M. A. Zaky.

Nonlinear Dynamics **(2015)**

244 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Cairo University

Alabama Agricultural and Mechanical University

Çankaya University

Ege University

University of Guilan

King Abdulaziz University

Polytechnic Institute of Porto

Texas A&M University at Qatar

University of Aveiro

Neijiang Normal University

Vrije Universiteit Amsterdam

University of Shizuoka

The University of Texas at Dallas

Indian Institute of Technology Kanpur

University of Pavia

National Academies of Sciences, Engineering, and Medicine

Great Lakes Science Center

University of Tokyo

Cedars-Sinai Medical Center

Utrecht University

Australian National University

National Defense Medical College

University of Colorado Boulder

Spaulding Rehabilitation Hospital

Stanford University

University of Michigan–Ann Arbor

Something went wrong. Please try again later.