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[PDF] Top 20 Numerical solution of nonlinear fractional integro-differential equation by Collocation method

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Numerical solution of nonlinear fractional integro-differential equation by Collocation method

Numerical solution of nonlinear fractional integro-differential equation by Collocation method

... Trapezoidal method, Legendre spline interpolation method, Adomain decomposition method, Taylor series method, Pi- card’s iterative method, Variational principle method, Iterative ... See full document

7

Numerical solution of multi-order fractional differential equations via the sinc collocation method

Numerical solution of multi-order fractional differential equations via the sinc collocation method

... sinc collocation method for solving equation ...sinc method is an efficient method developed by Stenger ...the numerical solution of initial and boundary value problems ... See full document

13

Numerical solution of Volterra partial integro differential equations based on sinc collocation method

Numerical solution of Volterra partial integro differential equations based on sinc collocation method

... the numerical solution of a Volterra integro-differential equation of parabolic type with memory term subject to initial boundary value ...difference method in combination with product ... See full document

21

Hermite Wavelet Collocation Method for the Numerical Solution of Integral and Integro - Differential Equations

Hermite Wavelet Collocation Method for the Numerical Solution of Integral and Integro - Differential Equations

... wavelet collocation method for the numerical solution of Volterra, Fredholm, mixed Volterra-Fredholm integral equations, integro-differential equations and Abel’s integral ...The ... See full document

17

‎Numerical solution of nonlinear fractional Volterra-Fredholm integro-differential equations with mixed boundary ‎conditions‎

‎Numerical solution of nonlinear fractional Volterra-Fredholm integro-differential equations with mixed boundary ‎conditions‎

... solving fractional differential and fractional integro-differential equations different numerical techniques have been ...[1] fractional differential transform ... See full document

7

A Study on ‎‎Functional Fractional Integro-Differential Equations ‎of Hammerstein type

A Study on ‎‎Functional Fractional Integro-Differential Equations ‎of Hammerstein type

... Tau method [21, 40], fractional differential transform method [4, 30], sinc-collocation method [3, 12], Laplace transform method [20, 22] and least squares method ... See full document

21

wavelet collocation method for solving integro-differential equation.

wavelet collocation method for solving integro-differential equation.

... Wavelet collocation method for numerical solution nth order Volterra integro diferential equations (VIDE) by expanding the unknown functions, as series in terms of chebyshev wavelets ... See full document

7

A new family of high-order difference schemes for the solution of second order boundary value problems

A new family of high-order difference schemes for the solution of second order boundary value problems

... reasonable numerical solution for µ = ...common numerical methods fail to provide enough accurate solutions for large values of ...the numerical solution obtained by the Scheme 2 with N ... See full document

13

A Numerical Scheme for Solving Nonlinear Fractional Volterra Integro-Differential Equations

A Numerical Scheme for Solving Nonlinear Fractional Volterra Integro-Differential Equations

... of fractional calculus in the nonlinear oscillation of earthquakes [11], viscoelastic materials [2], colored noise [22], solid mechanics [30], fluid-dynamic traffic [12], continuum and statistical mechanics ... See full document

22

Numerical solution of a singularly perturbed Volterra integro differential equation

Numerical solution of a singularly perturbed Volterra integro differential equation

... perturbed integro-differential-algebraic equations and sin- gularly perturbed integro-differential systems has been solved by Kauthen [, ] by im- plicit Runge-Kutta ...and integro-differential ... See full document

15

Numerical solution of gas solution in a fluid‎: ‎fractional derivative model

Numerical solution of gas solution in a fluid‎: ‎fractional derivative model

... for numerical solution of conventional differential equations, their application for the fractional differential equations implies at least two difficulties in connection with the ... See full document

13

About the Accuracy and the Grid Convergence of the Numerical Solution of the Energy Equation in Fluid Film Lubrication

About the Accuracy and the Grid Convergence of the Numerical Solution of the Energy Equation in Fluid Film Lubrication

... The numerical solution of the energy equation based on the Lobatto points collocation method 152. The Lobatto Point Collocation Method (LPCM) is based on the approximation of the temper[r] ... See full document

19

Numerical solution of nonlinear mixed Fredholm-Volterra integro-differential equations of fractional order by Bernoulli wavelets

Numerical solution of nonlinear mixed Fredholm-Volterra integro-differential equations of fractional order by Bernoulli wavelets

... seeking numerical solutions of these equations becomes more and more important ...developing numerical schemes for the solution of ...iteration method [9, 32], homotopy perturbation ... See full document

14

A modified series solution method for fractional integro differential equations

A modified series solution method for fractional integro differential equations

... series solution of a nonlinear fractional integro-differential ...a fractional power in the power series can be ...say equation (5.1) contains fractional powers of ... See full document

8

Numerical Solution for Solving a System of Fractional Integro-differential Equations

Numerical Solution for Solving a System of Fractional Integro-differential Equations

... and integro-differential equations of fractional order arise in many physical and engineer- ing problems such as fluid mechanics, viscoelasticity, dif- fusion processes, biology and so on ...the ... See full document

7

Homotopy Analysis Method for Equations of the Type Δ2=b(x,y) and  Δ2u=b(x,y,u)

Homotopy Analysis Method for Equations of the Type Δ2=b(x,y) and Δ2u=b(x,y,u)

... analysis method is developed in 1992 by Liao ...series solution of linear and nonline arpartial differential ...this method is independent of small/large physical ...series solution ... See full document

8

Numerical Solution of Second Kind Volterra and Fredholm Integral Equations Based on a Direct Method Via Triangular Functions

Numerical Solution of Second Kind Volterra and Fredholm Integral Equations Based on a Direct Method Via Triangular Functions

... and integro-differential equations, because a great number of problems in physi- cal science and engineering are modeled by such equations [6, 5, 2, 15, 11, 13, 16, 17, 9, 3, 10, 4, ...direct method ... See full document

9

Numerical Approach for Solving Fractional Pantograph Equation

Numerical Approach for Solving Fractional Pantograph Equation

... pantograph equation is a kind of delay differential equation which is used different fields of pure and applied mathematics such as number theory, dynamical systems, probability, quantum mechanics ... See full document

8

On The Numerical Solution of Picard Iteration Method for Fractional Integro - Differential Equation

On The Numerical Solution of Picard Iteration Method for Fractional Integro - Differential Equation

... and numerical solutions to linear and nonlinear fraction differential equations ...on fractional calculus, such as ...of fractional calculus applications are being used and in the field ... See full document

7

Numerical solution of fractional order Riccati differential equation by differential quadrature method based on Chebyshev polynomials

Numerical solution of fractional order Riccati differential equation by differential quadrature method based on Chebyshev polynomials

... quadrature method is that any derivative at a mesh point can be approx- imated by a weighted linear sum of all the functional values along a mesh ...quadrature method is the determination of weighting coef- ... See full document

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