- Fractional Differential Equations Solutions
- Iterative Methods for Nonlinear Equations
- Differential Equations and Numerical Methods
- Numerical methods for differential equations
- Mathematical functions and polynomials
- Numerical methods in engineering
- Nonlinear Differential Equations Analysis
- Fuzzy Systems and Optimization
- Differential Equations and Boundary Problems
- Nonlinear Waves and Solitons
- Quantum-Dot Cellular Automata
- Quantum Computing Algorithms and Architecture
- Numerical methods in inverse problems
- Fuzzy Logic and Control Systems
- Hydrology and Watershed Management Studies
- Hydrological Forecasting Using AI
- Electromagnetic Scattering and Analysis
- Stochastic processes and financial applications
- advanced mathematical theories
- Quantum Information and Cryptography
- Solar and Space Plasma Dynamics
- Ionosphere and magnetosphere dynamics
- Model Reduction and Neural Networks
- Advanced Algebra and Logic
- Rough Sets and Fuzzy Logic
University of Tabriz
2014-2024
Islamic Azad University Shabestar
2012
Islamic Azad University of Tabriz
2012
Tarbiat Modares University
2002
Abstract In this paper an expansion method, based on Legendre or any orthogonal polynomials, is developed to find numerical solutions of two-dimensional linear Fredholm integral equations. We estimate the error and present some examples demonstrate accuracy method.
Abstract In this paper, we consider a general form of two-dimensional linear Volterra integro-differential equations(TDLVIDE) the second order with some sup- plementary conditions and develop operational Tau method standard base for obtaining numerical solution.
In this paper, we deal with a system of integral algebraic equations the Hessenberg type. Using new index definition, existence and uniqueness solution to are studied. The well-known piecewise continuous collocation methods used solve numerically, convergence properties perturbed investigated obtain order for given numerical methods. Finally, some experiments provided support theoretical results.
In this paper a cubic Hermite interpolation for fuzzy data is presented and then it generalized to piecewise interpolation. Moreover an error bound given The inter
In this paper, we consider a class of nonlinear transient heat conduction equations with some supplementary conditions. We apply the operational Tau method arbitrary polynomial bases to approximate solution these equations. addition, theoretical results are given simplify and reduce computational cost. Finally numerical examples clarify efficiency accuracy proposed method.