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- Axially symmetric potentials (1)
- Bessel function and several complex variables (1)
- Composite Trapezoidal Method (1)
- Convergence (1)
- Fractional differential equations (1)
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- Fredholm Integro-differential equations (1)
- Fuzzy mapping (1)
- Jacobi polynomials (1)
- Local fractional derivative operators (1)
- Local fractional variational iteration method (1)
- Non-Linear Equation (1)
- Non-Standard Finite difference (1)
- Nonlinear partial differentia equation (1)
- Operational matrix (1)
- Order and type (1)
- Over-relaxed (1)
- Potential scattering (1)
- Quadrature formulas (1)
- Riccati equation (1)
- Tau method (1)
- Variational inclusion (1)
Articles 1 - 5 of 5
Full-Text Articles in Physical Sciences and Mathematics
The Shifted Jacobi Polynomial Integral Operational Matrix For Solving Riccati Differential Equation Of Fractional Order, A. Neamaty, B. Agheli, R. Darzi
The Shifted Jacobi Polynomial Integral Operational Matrix For Solving Riccati Differential Equation Of Fractional Order, A. Neamaty, B. Agheli, R. Darzi
Applications and Applied Mathematics: An International Journal (AAM)
In this article, we have applied Jacobi polynomial to solve Riccati differential equation of fractional order. To do so, we have presented a general formula for the Jacobi operational matrix of fractional integral operator. Using the Tau method, the solution of this problem reduces to the solution of a system of algebraic equations. The numerical results for the examples presented in this paper demonstrate the efficiency of the present method.
On The Growth Of Solutions Of The Generalized Axially Symmetric, Reduced Wave Equation In (N + 1) Variables, Devendra Kumar
On The Growth Of Solutions Of The Generalized Axially Symmetric, Reduced Wave Equation In (N + 1) Variables, Devendra Kumar
Applications and Applied Mathematics: An International Journal (AAM)
In this paper we have investigated the growth properties of solutions of the generalized axially symmetric, reduced wave equation in (n + 1) variables. Results analogus to those for order and type found in the theory of entire functions of several complex variables, of solutions, in terms of their expansion coefficients have been obtained. Our study is essential to a detailed understanding of the scattering of waves by central potentials and may be applied for generalized (n + 2)ô€€€dimensional problems of potential scattering in quantum mechanics.
Numerical Solution Of Linear Fredholm Integro-Differential Equations By Non-Standard Finite Difference Method, Pramod K. Pandey
Numerical Solution Of Linear Fredholm Integro-Differential Equations By Non-Standard Finite Difference Method, Pramod K. Pandey
Applications and Applied Mathematics: An International Journal (AAM)
In this article we consider a non-standard finite difference method for numerical solution of linear Fredholm integro-differential equations. The non-standard finite difference method and the repeated / composite trapezoidal quadrature method are used to transform the Fredholm integro-differential equation into a system of non-linear algebraic equations. The numerical experiments on some linear model problems show the simplicity and efficiency of the proposed method. It is observed from the numerical experiments that our method is convergent and second order accurate.
Local Fractional Variational Iteration Method For Solving Nonlinear Partial Differential Equations Within Local Fractional Operators, Hossein Jafari, Hassan K. Jassim
Local Fractional Variational Iteration Method For Solving Nonlinear Partial Differential Equations Within Local Fractional Operators, Hossein Jafari, Hassan K. Jassim
Applications and Applied Mathematics: An International Journal (AAM)
In this article, the local fractional variational iteration method is proposed to solve nonlinear partial differential equations within local fractional derivative operators. To illustrate the ability and reliability of the method, some examples are illustrated. A comparison between local fractional variational iteration method with the other numerical methods is given, revealing that the proposed method is capable of solving effectively a large number of nonlinear differential equations with high accuracy. In addition, we show that local fractional variational iteration method is able to solve a large class of nonlinear problems involving local fractional operators effectively, more easily and accurately, and …
The Fuzzy Over-Relaxed Proximal Point Iterative Scheme For Generalized Variational Inclusion With Fuzzy Mappings, Rais Ahmad, Mijanur Rahaman, Haider A. Rizvi
The Fuzzy Over-Relaxed Proximal Point Iterative Scheme For Generalized Variational Inclusion With Fuzzy Mappings, Rais Ahmad, Mijanur Rahaman, Haider A. Rizvi
Applications and Applied Mathematics: An International Journal (AAM)
This paper deals with the introduction of a fuzzy over-relaxed proximal point iterative scheme based on H(-, -)-cocoercivity framework for solving a generalized variational inclusion problem with fuzzy mappings. The resolvent operator technique is used to approximate the solution of generalized variational inclusion problem with fuzzy mappings and convergence of the iterative sequences generated by the iterative scheme is discussed. Our results can be treated as refinement of many previously-known results.