What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (120.57%)
- Nonlinear system (60.77%)
- Collocation method (52.63%)
What were the highlights of his more recent work (between 2016-2018)?
- Mathematical analysis (120.57%)
- Fractional calculus (34.45%)
- Legendre polynomials (20.10%)
In recent papers he was focusing on the following fields of study:
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.
Between 2016 and 2018, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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