What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Differential equation
- Numerical analysis
The scientist’s investigation covers issues in Mathematical analysis, Adomian decomposition method, Integral equation, Numerical analysis and Volterra integral equation.
His Mathematical analysis research includes themes of Operational matrix and Algebraic equation.
His research in Adomian decomposition method intersects with topics in Decomposition method and Polynomial.
His Integral equation study frequently links to other fields, such as Linear system.
The Numerical analysis study combines topics in areas such as Homotopy analysis method and Poincaré–Lindstedt method.
The study incorporates disciplines such as Chebyshev pseudospectral method, Method of mean weighted residuals and Chebyshev iteration, Chebyshev filter, Chebyshev nodes in addition to Volterra integral equation.
His most cited work include:
- Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration (167 citations)
- Solution of the system of ordinary differential equations by Adomian decomposition method (119 citations)
- Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets (118 citations)
What are the main themes of his work throughout his whole career to date?
Mathematical analysis, Applied mathematics, Numerical analysis, Integral equation and Adomian decomposition method are his primary areas of study.
Esmail Babolian interconnects Algebraic equation and Homotopy analysis method in the investigation of issues within Mathematical analysis.
His Applied mathematics research integrates issues from Matrix, Partial differential equation, Chebyshev polynomials and Iterative method.
His work deals with themes such as Numerical integration, Linear system, Delay differential equation and Coefficient matrix, which intersect with Numerical analysis.
His research integrates issues of Galerkin method, Algorithm and Linear equation in his study of Integral equation.
His work carried out in the field of Adomian decomposition method brings together such families of science as Laplace transform, Decomposition method, Decomposition method, Polynomial and Calculus.
He most often published in these fields:
- Mathematical analysis (64.57%)
- Applied mathematics (35.43%)
- Numerical analysis (30.29%)
What were the highlights of his more recent work (between 2015-2021)?
- Applied mathematics (35.43%)
- Mathematical analysis (64.57%)
- Differential equation (16.57%)
In recent papers he was focusing on the following fields of study:
Esmail Babolian mainly focuses on Applied mathematics, Mathematical analysis, Differential equation, Fractional calculus and Algebraic equation.
His studies deal with areas such as Iterative method, Numerical analysis, Chebyshev polynomials and Integral equation as well as Applied mathematics.
Esmail Babolian combines subjects such as Spline interpolation and Uniqueness with his study of Numerical analysis.
The concepts of his Mathematical analysis study are interwoven with issues in Matrix and Kernel.
His Differential equation research incorporates elements of Order, Legendre polynomials, Spectral method and Type.
His Fractional calculus study integrates concerns from other disciplines, such as Chebyshev filter and Collocation method.
Between 2015 and 2021, his most popular works were:
- Numerical solution of fractional pantograph differential equations by using generalized fractional-order Bernoulli wavelet (71 citations)
- A new operational matrix based on Bernoulli wavelets for solving fractional delay differential equations (68 citations)
- Fractional-order Bernoulli wavelets and their applications (46 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Differential equation
- Algebra
His primary scientific interests are in Mathematical analysis, Applied mathematics, Fractional calculus, Collocation method and Algebraic equation.
His is doing research in Reproducing kernel Hilbert space and Numerical analysis, both of which are found in Mathematical analysis.
His Applied mathematics research includes elements of Basis, Linear system, Partial differential equation, Discretization and Rate of convergence.
His Fractional calculus study combines topics from a wide range of disciplines, such as Iterative method and Differential equation.
His work in Collocation method covers topics such as Legendre polynomials which are related to areas like Integro-differential equation, Orthogonal collocation and Newton's method.
His research investigates the connection between Algebraic equation and topics such as Bernoulli differential equation that intersect with problems in Initial value problem.
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.
