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- Esmail Babolian

Mathematics

Iran

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
40
Citations
5,769
170
World Ranking
1398
National Ranking
10

2023 - Research.com Mathematics in Iran Leader Award

- 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.

- 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)

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.

- Mathematical analysis (64.57%)
- Applied mathematics (35.43%)
- Numerical analysis (30.29%)

- Applied mathematics (35.43%)
- Mathematical analysis (64.57%)
- Differential equation (16.57%)

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.

- 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)

- 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.

Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration

Esmail Babolian;F. Fattahzadeh.

Applied Mathematics and Computation **(2007)**

258 Citations

Solution of the system of ordinary differential equations by Adomian decomposition method

J. Biazar;E. Babolian;R. Islam.

Applied Mathematics and Computation **(2004)**

212 Citations

Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets

E. Babolian;A. Shahsavaran.

Journal of Computational and Applied Mathematics **(2009)**

202 Citations

Numerical solution of nonlinear Volterra-Fredholm integro-differential equations via direct method using triangular functions

E. Babolian;Z. Masouri;S. Hatamzadeh-Varmazyar.

Computers & Mathematics With Applications **(2009)**

197 Citations

The decomposition method applied to systems of Fredholm integral equations of the second kind

E. Babolian;J. Biazar;A. R. Vahidi.

Applied Mathematics and Computation **(2004)**

193 Citations

On the order of convergence of Adomian method

E. Babolian;J. Biazar.

Applied Mathematics and Computation **(2002)**

192 Citations

Solution of nonlinear equations by modified adomian decomposition method

E. Babolian;J. Biazar.

Applied Mathematics and Computation **(2002)**

190 Citations

A Direct Method for Numerically Solving Integral Equations System Using Orthogonal Triangular Functions

E Babolian;Z. Masouri;S. Hatamzadeh-Varmazyar.

International Journal of Industrial Mathematics **(2009)**

170 Citations

NEW DIRECT METHOD TO SOLVE NONLINEAR VOLTERRA-FREDHOLM INTEGRAL AND INTEGRO-DIFFERENTIAL EQUATIONS USING OPERATIONAL MATRIX WITH BLOCK-PULSE FUNCTIONS

Esmail Babolian;Zahra Masouri;Saeed Hatamzadeh-Varmazyar.

Progress in Electromagnetics Research B **(2008)**

155 Citations

Numerical solution of linear Fredholm fuzzy integral equations of the second kind by Adomian method

E. Babolian;H.Sadeghi Goghary;S. Abbasbandy.

Applied Mathematics and Computation **(2005)**

154 Citations

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