Search Results - "Rashidinia, Jalil"

A new operational vector approach for time‐fractional subdiffusion equations of distributed order based on hybrid functions by Eftekhari, Tahereh, Rashidinia, Jalil

“…This research study deals with the numerical solutions of linear and nonlinear time‐fractional subdiffusion equations of distributed order. The main aim of our…”
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A new hybrid approach for nonlinear stochastic differential equations driven by multifractional Gaussian noise by Eftekhari, Tahereh, Rashidinia, Jalil

“…The purpose of this paper is to present a new and efficient computational method based on the hybrid of block‐pulse functions and shifted Legendre polynomials…”
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A novel hybrid method with convergence analysis for approximation of HTLV-I dynamics model by Molavi-Arabshahi, Mahboubeh, Rashidinia, Jalil, Yousefi, Mahnaz

“…This paper presents a novel numerical approach for approximating the solution of the model describing the infection of C D 4 + T -cells by the human T-cell…”
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A new and efficient numerical method based on shifted fractional‐order Jacobi operational matrices for solving some classes of two‐dimensional nonlinear fractional integral equations by Maleknejad, Khosrow, Rashidinia, Jalil, Eftekhari, Tahereh

“…The aim of this paper is to present a new and efficient numerical method to approximate the solutions of two‐dimensional nonlinear fractional Fredholm and…”
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Solution of convection-diffusion model in groundwater pollution by Rashidinia, Jalil, Momeni, Arefeh, Molavi-Arabshahi, Mahboubeh

“…This research involves the development of the spectral collocation method based on orthogonalized Bernoulli polynomials to the solution of time-fractional…”
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Numerical solutions of distributed order fractional differential equations in the time domain using the Müntz–Legendre wavelets approach by Maleknejad, Khosrow, Rashidinia, Jalil, Eftekhari, Tahereh

“…In this paper, a numerical method is presented to obtain and analyze the behavior of numerical solutions of distributed order fractional differential equations…”
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A novel operational vector for solving the general form of distributed order fractional differential equations in the time domain based on the second kind Chebyshev wavelets by Rashidinia, Jalil, Eftekhari, Tahereh, Maleknejad, Khosrow

“…The main aim of this research study is to present a new and efficient numerical method based on the second kind Chebyshev wavelets for solving the general form…”
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Numerical solution for the Kawahara equation using local RBF-FD meshless method by Rasoulizadeh, Mohammad Navaz, Rashidinia, Jalil

“…•The non-linear fifth order Kawahara equation.•Local RBF-FD meshless method.•The Matlab software was used for the implementation of RBF-FD method.•Stability…”
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Existence, uniqueness, and approximate solutions for the general nonlinear distributed-order fractional differential equations in a Banach space by Eftekhari, Tahereh, Rashidinia, Jalil, Maleknejad, Khosrow

“…The purpose of this paper is to provide sufficient conditions for the local and global existence of solutions for the general nonlinear distributed-order…”
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An efficient spectral collocation method based on the generalized Laguerre polynomials to multi-term time fractional diffusion-wave equations by Molavi-Arabshahi, Mahboubeh, Rashidinia, Jalil, Tanoomand, Shiva

“…In this study, a spectral collocation method is proposed to solve a multi-term time fractional diffusion-wave equation. The solution is expanded by a series of…”
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Numerically pricing American and European options using a time fractional Black–Scholes model in financial decision-making by Nikan, Omid, Rashidinia, Jalil, Jafari, Hossein

“…The time fractional Black–Scholes equation (TFBSE) is designed to evaluate price fluctuations within a correlated fractal transmission system. This model…”
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An Investigation on Existence, Uniqueness, and Approximate Solutions for Two-Dimensional Nonlinear Fractional Integro-Differential Equations by Eftekhari, Tahereh, Rashidinia, Jalil

“…In this research, we provide sufficient conditions to prove the existence of local and global solutions for the general two-dimensional nonlinear fractional…”
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Numerical solutions of two-dimensional nonlinear fractional Volterra and Fredholm integral equations using shifted Jacobi operational matrices via collocation method by Rashidinia, Jalil, Eftekhari, Tahereh, Maleknejad, Khosrow

“…In this paper, an efficient numerical method is presented to approximate solutions of two-dimensional nonlinear fractional Volterra and Fredholm integral…”
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Approximate solution of the multi-term time fractional diffusion and diffusion-wave equations by Rashidinia, Jalil, Mohmedi, Elham

“…We develop a numerical scheme for finding the approximate solution for one- and two-dimensional multi-term time fractional diffusion and diffusion-wave…”
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Continuously Bursting Simulations and Analytical Solutions of the Neocortical Neurons Model by Rashidinia, Jalil, Sajjadian, Mehri

“…The well-known Hodgkin Huxley (HH) model employs the electrical circuit theory to describe the membrane potential of a cell in a giant squid axon. Hugh R…”
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Modified B-Spline Collocation Approach for Pricing American Style Asian Options by Rashidinia, Jalil, Jamalzadeh, Sanaz

“…In this work, a stable numerical scheme based on modified bi-cubic B-spline collocation method is developed for the valuation of Asian options. The option…”
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C^{3}$-spline Methods for Solving Fractional Integro-differential Equations by Sheida Mohammadizadeh, Jalil Rashidinia, Reza Ezzati

“…Fractional integro-differential equations (FIDEs) constitute an important mathematical tool in modeling many dynamical processes‎. ‎To solve FIDEs‎, ‎several…”
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Solution of a system of delay differential equations of multi pantograph type by Davaeifar, Sara, Rashidinia, Jalil

“…A collocation method is proposed to obtain an approximate solution of a system of multi pantograph type delay differential equations with variable coefficients…”
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Operational matrices based on hybrid functions for solving general nonlinear two-dimensional fractional integro-differential equations by Maleknejad, Khosrow, Rashidinia, Jalil, Eftekhari, Tahereh

“…In the present paper, an attempt was made to develop a numerical method for solving a general form of two-dimensional nonlinear fractional integro-differential…”
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Existence, uniqueness, and numerical solutions for two-dimensional nonlinear fractional Volterra and Fredholm integral equations in a Banach space by Maleknejad, Khosrow, Rashidinia, Jalil, Eftekhari, Tahereh

“…The purpose of this research is to provide sufficient conditions for the local and global existence of solutions for two-dimensional nonlinear fractional…”
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