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[PDF] Top 20 Numerical Solution for Initial and Boundary Value Problems of Fractional Order

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Numerical Solution for Initial and Boundary Value Problems of Fractional Order

Numerical Solution for Initial and Boundary Value Problems of Fractional Order

... The fractional calculus is a name for the theory of integrals and derivatives of arbitrary order, which unifies and generalizes the notions of integer-order diffe- rentiation and n-fold integration ... See full document

14

Hermite wavelets method for the numerical solution of linear and nonlinear singular initial and boundary value problems

Hermite wavelets method for the numerical solution of linear and nonlinear singular initial and boundary value problems

... exact solution are known as analytical meth- ...higher order differential equations with complex coefficients becomes very difficult to find exact ...need numerical methods to solve such equations. ... See full document

22

Numerical Results of Some Initial and Boundary Value Problems in Mechanics

Numerical Results of Some Initial and Boundary Value Problems in Mechanics

... and numerical solutions of fourth order homogenous and non-homogenous linear boundary value problems were investigated using a polynomial form of initial guess with the ... See full document

8

B-Spline Solution of Boundary Value Problems of Fractional Order Based on Optimal Control Strategy

B-Spline Solution of Boundary Value Problems of Fractional Order Based on Optimal Control Strategy

... and fractional differential equations are considered as a part of classical calculus(refer to [15] or [17] a historical ...the numerical study of fractional initial value ... See full document

7

A fractional type of the Chebyshev polynomials for approximation of solution of linear fractional differential equations

A fractional type of the Chebyshev polynomials for approximation of solution of linear fractional differential equations

... in numerical analysis including polynomial approximation, in- tegral and differential equations and spectral methods for partial differential equations [1, 2, 3, ...the initial and boundary ... See full document

12

Numerical solution for boundary value problem of fractional order with approximate Integral and derivative

Numerical solution for boundary value problem of fractional order with approximate Integral and derivative

... Boundary value problems of fractional order are applied in accounting for various physical process of stochastic ...Moreover, boundary value problems with integral ... See full document

10

Numerical approximation for the solution of linear sixth order boundary value problems by cubic B spline

Numerical approximation for the solution of linear sixth order boundary value problems by cubic B spline

... of boundary value problems (BVPs) are almost unlimited, and they play an important role in all the branches of science, engineering, and ...solving problems related to a system of linear and ... See full document

16

Boundary value problems for hybrid differential equations with fractional order

Boundary value problems for hybrid differential equations with fractional order

... The main problem of the differential inequalities is to estimate a bound for the solution set for the differential inequality related to BVPHDEF (). In this section, we prove that the maximal and minimal solutions ... See full document

19

Numerical Solution of Fifth Order Boundary Value Problems by Galerkin Method with Quartic B splines

Numerical Solution of Fifth Order Boundary Value Problems by Galerkin Method with Quartic B splines

... fifth order boundary value ...the boundary where the Dirichlet boundary conditions and Neumann boundary conditions are ...linear boundary value problems and ... See full document

6

A Fifth-fourth Continuous Block Implicit Hybrid Method for the Solution of Third Order Initial Value Problems in Ordinary Differential Equations

A Fifth-fourth Continuous Block Implicit Hybrid Method for the Solution of Third Order Initial Value Problems in Ordinary Differential Equations

... new method preserves the traditional Runge-kutta advantage of being self-starting. The paper is organized as follows: Section two considers the method and the materials for the development of method. Section three ... See full document

8

On explicit and numerical solvability of parabolic initial-boundary value problems

On explicit and numerical solvability of parabolic initial-boundary value problems

... (2.11) Under condition (2.2), there exists γ > 0 such that for Re p > γ, the problem (2.11) has a unique solution belonging to an appropriate Sobolev space. This assertion has been stated in [10, Theorem ... See full document

12

Riemann-Liouville integral boundary value problems for impulsive fractional integro-differential equations

Riemann-Liouville integral boundary value problems for impulsive fractional integro-differential equations

... first order boundary value problems for fractional differential equations and inclusions with fractional integral boundary ...nonlinear fractional differential ... See full document

9

Solvability of boundary value problems for fractional order elastic beam equations

Solvability of boundary value problems for fractional order elastic beam equations

... lower solution methods], [, topological degree the- ory in Banach space], [, Lie symmetry group methods], [, the contraction mapping principle and Krasnoselskii’s fixed point theorem] and [, study the ... See full document

12

Nonlocal boundary value problems of fractional order at resonance with integral conditions

Nonlocal boundary value problems of fractional order at resonance with integral conditions

... Stieltjes integral u() = u () = , D β + u() =   D β + u(t) dA(t). By utilizing the monotone it- erative method, the sufficient conditions which guarantee the existence of solutions were established. Promoted by [] ... See full document

12

Positive solutions for an infinite system of fractional order boundary value problems

Positive solutions for an infinite system of fractional order boundary value problems

... of problems of infinite systems of differential equations aris- ing naturally in the description of physical phenomena, where only positive solutions are ...the boundary value problems of ... See full document

11

Anti periodic fractional boundary value problems for nonlinear differential equations of fractional order

Anti periodic fractional boundary value problems for nonlinear differential equations of fractional order

... anti-periodic boundary value problems for differential equa- ...anti-periodic boundary value conditions have been considered in papers ...anti-periodic boundary value ... See full document

12

Numerical Solution of Fourth Order Integro differential Boundary Value Problems by Optimal Homotopy Asymptotic Method

Numerical Solution of Fourth Order Integro differential Boundary Value Problems by Optimal Homotopy Asymptotic Method

... ABSTRACT In the course of this paper, the Optimal Homotopy Asymptotic Method OHAM introduced by Marica is applied to solve linear and nonlinear boundary value problems both for fourth-or[r] ... See full document

7

I. I NTRODUCTION C ONSIDER the initial value problems (IVP) x, y x0 , X yx0y(1) where fRm , can be solved using the hybrid linear multistep methods (HLMM)

I. I NTRODUCTION C ONSIDER the initial value problems (IVP) x, y x0 , X yx0y(1) where fRm , can be solved using the hybrid linear multistep methods (HLMM)

... high order Obreshkov hybrid formulas are proposed for the numerical solution of first order initial value problems (IVPs) in ordinary differ- ential equations ...from ... See full document

11

Septic B Spline Solution of Fifth Order Boundary Value Problems

Septic B Spline Solution of Fifth Order Boundary Value Problems

... A numerical method based on septic B-spline function is presented for the solution of linear and nonlinear fifth-order boundary value ...nonlinear problems to linear ... See full document

9

The numerical solution of boundary value problems in partial differential equations

The numerical solution of boundary value problems in partial differential equations

... difference solution were sho?n to oe dependent on the ...this order would give hounded errors In a closed region, 0 < t < T, but that the errors would become unbounded as t -» <*• Thus, ... See full document

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