Fibonacci Operational Matrix Algorithm For Solving Differential Equations Of Lane-Emden Type
The aim of this study is presentan effective and correct technique for solving differential equations ofLane-Emden type as initial value problems. In this work, a numerical method namedas the Fibonacci polynomial approximation method, for the approximate
Musa Çakmak
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HAAR WAVELET AND ADOMAIN DECOMPOSITION METHOD FOR THIRD ORDER PARTIAL DIFFERENTIAL EQUATIONS ARISING IN IMPULSIVE MOTION OF A AT PLATE [PDF]
We present here, a Haar wavelet method for a class of third order partial dierentialequations (PDEs) arising in impulsive motion of a flat plate. We also, present Adomaindecomposition method to find the analytic solution of such equations.
I. Singh, S. Kumar
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CAS Wavelet Based Numerical Technique for the Solution of Dusty Tangent Hyperbolic Fluid Flow with Magnetic Dipole Effect, Quadratic Convection and Entropy Generation [PDF]
This paper presents the CAS wavelet based numerical technique for the solution of non-linear system of differential equations arising in the analysis of an unsteady dusty tangent hyperbolic fluid flow over a stretching sheet through porous medium with ...
S.C. Shiralashetti +2 more
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Improved Block-Pulse Functions for Numerical Solution of Mixed Volterra-Fredholm Integral Equations
The present paper employs a numerical method based on the improved block–pulse basis functions (IBPFs). This was mainly performed to resolve the Volterra–Fredholm integral equations of the second kind.
Ji-Huan He +3 more
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Kifilideen’s general matrix progression series of infinite terms is the summation of values of a collection of progressive members of the numbers series system.
Kifilideen Osanyinpeju
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Numerical Solution of Nonlinear Backward Stochastic Volterra Integral Equations
This work uses the collocation approximation method to solve a specific type of backward stochastic Volterra integral equations (BSVIEs). Using Newton’s method, BSVIEs can be solved using block pulse functions and the corresponding stochastic operational
Mahvish Samar +2 more
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Euler Operational Matrix of Integration and Collocation Method for Solving Functional Integral Equations [PDF]
In this paper, the functional Volterra integral equations of the Hammerstein type are studied. First, some conditions that ensure the existence and uniqueness of the solutions to these equations within the space of square-integrable functions are ...
Sohrab Bazm, Fatemeh Pahlevani
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Leila Mansouri, Esmail babolian
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Distributed-order fractional differential operators provide a powerful tool for mathematical modeling of multiscale multiphysics processes, where the differential orders are distributed over a range of values rather than being just a fixed fraction.
Ramy M. Hafez +3 more
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An Operational Matrix of Fractional Derivatives of Laguerre Polynomials
In this paper, we derive the Laguerre operational matrix (LOM) of fractional derivatives, which is applied together with the spectral tau method for numerical solution of general linear multi-term fractional differential equations (FDEs) on the half line.
Mohamed Abdelhalim ABDELKAWY +1 more
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