What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- Partial differential equation
His scientific interests lie mostly in Mathematical analysis, Homotopy analysis method, Applied mathematics, Series and Adomian decomposition method.
He has included themes like Fuzzy logic and Nonlinear system in his Mathematical analysis study.
His work on Fuzzy number and Defuzzification as part of general Fuzzy logic research is frequently linked to Context, thereby connecting diverse disciplines of science.
His study in Homotopy analysis method is interdisciplinary in nature, drawing from both Simple, Reaction–diffusion system, n-connected and Homotopy perturbation method.
His study looks at the intersection of Applied mathematics and topics like Numerical analysis with System of linear equations, Algorithm, Nonlinear conjugate gradient method, Derivation of the conjugate gradient method and Symmetric rank-one.
His biological study deals with issues like Decomposition method, which deal with fields such as Thiele modulus.
His most cited work include:
- THE APPLICATION OF HOMOTOPY ANALYSIS METHOD TO NONLINEAR EQUATIONS ARISING IN HEAT TRANSFER (560 citations)
- A new approach for ranking of trapezoidal fuzzy numbers (310 citations)
- The application of homotopy analysis method to solve a generalized Hirota–Satsuma coupled KdV equation (284 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of study are Mathematical analysis, Applied mathematics, Fuzzy logic, Nonlinear system and Homotopy analysis method.
His study in Boundary value problem, Adomian decomposition method, Collocation method, Differential equation and Integral equation falls within the category of Mathematical analysis.
His research integrates issues of Kernel, Interpolation, Uniqueness, Numerical analysis and Fuzzy subalgebra in his study of Applied mathematics.
Saeid Abbasbandy has researched Fuzzy logic in several fields, including Differentiable function, Linear system and Mathematical optimization.
The Homotopy analysis method study combines topics in areas such as Flow, Mechanics, Series and Homotopy perturbation method.
His Fuzzy number research incorporates themes from Discrete mathematics and Algorithm.
He most often published in these fields:
- Mathematical analysis (49.63%)
- Applied mathematics (37.84%)
- Fuzzy logic (28.75%)
What were the highlights of his more recent work (between 2015-2021)?
- Applied mathematics (37.84%)
- Mathematical analysis (49.63%)
- Nonlinear system (24.57%)
In recent papers he was focusing on the following fields of study:
Saeid Abbasbandy mainly focuses on Applied mathematics, Mathematical analysis, Nonlinear system, Boundary value problem and Fuzzy logic.
His research in Applied mathematics intersects with topics in Kernel, Collocation method, Interpolation, Uniqueness and Numerical analysis.
The concepts of his Mathematical analysis study are interwoven with issues in Regularized meshless method and Boundary.
His Nonlinear system research includes elements of Lie group, Simple, Heat transfer and Order.
His Boundary value problem research focuses on subjects like Method of undetermined coefficients, which are linked to Finite difference method.
His research investigates the connection between Fuzzy logic and topics such as Differential equation that intersect with problems in Derivative.
Between 2015 and 2021, his most popular works were:
- Numerical study of magnetohydrodynamics generalized Couette flow of Eyring-Powell fluid with heat transfer and slip condition (98 citations)
- Numerical solution for Sakiadis flow of upper-convected Maxwell fluid using Cattaneo-Christov heat flux model (27 citations)
- Heat flux performance in a porous medium embedded Maxwell fluid flow over a vertically stretched plate due to heat absorption (25 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Quantum mechanics
- Partial differential equation
Saeid Abbasbandy focuses on Mathematical analysis, Applied mathematics, Nonlinear system, Reproducing kernel Hilbert space and Numerical analysis.
His Mathematical analysis research includes themes of Regularized meshless method and Fuzzy logic.
In general Applied mathematics, his work in Fractional calculus is often linked to Geometric integrator linking many areas of study.
In his study, Thermal radiation, Magnetohydrodynamics, Viscous liquid and Pressure gradient is inextricably linked to Heat transfer, which falls within the broad field of Nonlinear system.
His study on Reproducing kernel Hilbert space also encompasses disciplines like
- Representer theorem that intertwine with fields like Polynomial kernel,
- Boundary value problem that intertwine with fields like Elliptic partial differential equation, Duct, Forced convection and Fully developed,
- Process which intersects with area such as Algorithm and Series.
His Numerical analysis research is multidisciplinary, incorporating perspectives in Burgers' equation, Radial basis function, Basis function, Homotopy analysis method and Scheme.
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