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[PDF] Top 20 Numerical Solution of Fourth Order Integro differential Boundary Value Problems by Optimal Homotopy Asymptotic Method

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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

Numerical solutions of second order initial value problems of Bratu type via optimal homotopy asymptotic method

Numerical solutions of second order initial value problems of Bratu type via optimal homotopy asymptotic method

... a numerical solution for second order initial value problems of Bratu-type, is optimal homotopy asymptotic method ...the numerical tables and ... See full document

8

Optimal Homotopy Asymptotic Method With Different Auxiliary Functions For The Solution Of Seventh Order Boundary Value Problems

Optimal Homotopy Asymptotic Method With Different Auxiliary Functions For The Solution Of Seventh Order Boundary Value Problems

... the optimal homotopy asymptotic method with different auxiliary functions has been applied to obtain the numerical solutions of linear and nonlinear seventh order boundary ... See full document

16

Non Standard Difference Method for Numerical Solution of Linear Fredholm Integro Differential Type Two Point Boundary Value Problems

Non Standard Difference Method for Numerical Solution of Linear Fredholm Integro Differential Type Two Point Boundary Value Problems

... Fredholm integro-differential equation type second-order boundary value problems and proposed a rational difference method for numerical solution of the ... See full document

10

A New Operational Matrix Method for Solving Nonlinear Caputo Fractional Derivative Integro-Differential Static Beam Problems via Chebyshev Polynomials

A New Operational Matrix Method for Solving Nonlinear Caputo Fractional Derivative Integro-Differential Static Beam Problems via Chebyshev Polynomials

... matrix method based on Cheby- shev polynomials is developed for obtaining approximate nu- merical solutions of boundary value problems for non-linear fourth order Caputo ... See full document

6

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 problem arises in the mathematical modeling of viscoelastic fluids and other branches of mathematics, physical and engineering sciences [1, ...the solution for these ... See full document

6

Exact Solution for a Class of Stiff Systems by Differential Transform Method

Exact Solution for a Class of Stiff Systems by Differential Transform Method

... solve boundary value problems for inte- gro-differential ...solve differential-difference ...multi order frac- tional differential equations and linear PDEs of fractional ... See full document

5

Boundary value problems for nonlinear fractional integro differential equations: theoretical and numerical results

Boundary value problems for nonlinear fractional integro differential equations: theoretical and numerical results

... several numerical methods have been proposed to approximate exact solutions for such ...decomposition method [3,4], collocation spline method [5], Variational iteration method and ... See full document

13

Application of Homotopy Perturbation and Modified Adomian Decomposition Methods for Higher Order Boundary Value Problems

Application of Homotopy Perturbation and Modified Adomian Decomposition Methods for Higher Order Boundary Value Problems

... the numerical solution of higher order boundary value problems using Homotopy perturbation method (HPM) and modified Adomian decomposition method ...The ... See full document

5

Finding the approximate analytical solutions of 2n (nϵR) order differential equation with boundary value problem using various techniques

Finding the approximate analytical solutions of 2n (nϵR) order differential equation with boundary value problem using various techniques

... the numerical results obtained are presented in ...that Homotopy perturbation method is a highly efficient method for solving boundary value problems arising in various ... See full document

19

Optimal Homotopy Asymptotic Method for Solving Integro-differential Equations

Optimal Homotopy Asymptotic Method for Solving Integro-differential Equations

... several numerical and analytical methods have been developed [1], [5], [7], ...[8]. Numerical methods, such as finite difference and finite ele- ment methods, are computationally expensive and have less ... See full document

7

A spline method for solving fourth order singularly perturbed boundary value problem

A spline method for solving fourth order singularly perturbed boundary value problem

... and numerical treatment of these equations have drawn much attention of many authors [5,22- ...perturbed boundary value problems for higher order nonlinear ordinary differential ... See full document

11

On boundary value problems of higher order abstract fractional integro-differential equations

On boundary value problems of higher order abstract fractional integro-differential equations

... of boundary value problems of nonlinear fractional integro-differential equations involving Caputo fractional derivative by using the techniques such as fractional calculus, H¨ older ... See full document

20

A Method to Estimate the Solution of a Weakly
 Singular Non-linear Integro-differential Equations
 by Applying the Homotopy Methods

A Method to Estimate the Solution of a Weakly Singular Non-linear Integro-differential Equations by Applying the Homotopy Methods

... linear problems with the approximations which converge rapidly to the exact ...approximate solution to analytical solution of the weakly singular nonlinear integro-differential equation ... See full document

11

Mid-knot cubic non-polynomial spline for a system of second-order boundary value problems

Mid-knot cubic non-polynomial spline for a system of second-order boundary value problems

... with continuity conditions of y and y at c and d. Here, f and g are continuous functions on [a, b] and [c, d], respectively, r, a ¯ and b ¯ are real finite constants. This type of systems arise in the study of obstacle, ... See full document

16

Legendre-collocation spectral solver for variable-order fractional functional differential equations

Legendre-collocation spectral solver for variable-order fractional functional differential equations

... A numerical method for the variable-order fractional functional differential equations (VO- FFDEs) has been ...This method is based on approximation with shifted Legendre ...a ... See full document

12

Asymptotic problems for fourth-order nonlinear differential equations

Asymptotic problems for fourth-order nonlinear differential equations

... Finally, let x be a positive solution of () satisfying (). Then x is either oscillatory or x (t) <  for large t. Assume x (t) <  on some J = [T , ∞ ), then x is decreasing and either x (t) ≥  or x (t) ... See full document

15

Analytical approximate solution of higher order boundary value problems via variational iteration method

Analytical approximate solution of higher order boundary value problems via variational iteration method

... iteration method has been successfully extended to obtain approximate solutions of some higher order boundary value ...the method by testing three different mathematical models of ... See full document

6

On the Construction of Analytic Numerical Approximations for a Class of Coupled Differential Models in Engineering

On the Construction of Analytic Numerical Approximations for a Class of Coupled Differential Models in Engineering

... A + ρ B (7) Condition (7) is well known in the literature of singular systems of differential equations, see [17], and involves the existence of some ρ ∈ 0  so that matrix A 1 + ρ 0 B 1 is invertible. In this ... See full document

19

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

... the numerical approximation of solutions of boundary value problems is large and still growing ...with numerical methods, we can consider direct implicit block method [2], ... See full document

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