[PDF] Top 20 Numerical solutions of second order initial value problems of Bratu type via optimal homotopy asymptotic method
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Numerical solutions of second order initial value problems of Bratu type via optimal homotopy asymptotic method
... standard Bratu problem is used in a large variety of applications, such as the fuel ignition model of the theory of thermal combustion, the thermal reaction process model, the Chandrasekhar model of the expansion ... See full document
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Optimal Homotopy Asymptotic Method With Different Auxiliary Functions For The Solution Of Seventh Order Boundary Value Problems
... boundary value problems by optimal homotopy asymptotic method using different types of auxiliary ...Three numerical examples have been given to show comparisons of ... See full document
16
Optimum Solutions of Fredholm and Volterra Integro-differential Equations
... engineering problems. Several numerical and analytical methods have been developed for solving integro-differential ...as Optimal Homotopy Asymptotic Method (OHAM) has been used ... See full document
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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- ...boundary value problems for higher order nonlinear ordinary differential equations, which have ... See full document
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Application of Optimal HAM for Solving the Fractional Order Logistic Equation
... analytical solutions of nonlinear fractional initial-value problems ...accurate numerical solution for nonlinear problems in comparison with other ...nonlinear problems in ... See full document
5
The Optimal Homotopy Asymptotic Method with Application to Second Kind of Nonlinear Volterra Integral Equations
... approximate solutions of the nonlinear ...In order to avoid these complications, decomposition method [2] was introduced, which is an exceptionally effective and powerful method for solving ... See full document
14
Approximate solutions of general second–order initial value problems using differential evolution
... the optimal values of the coefficients. Numerical examples show the efficiency and accuracy of the proposed technique compared with some existing classical ... See full document
7
Homotopy Analysis Method for Solving Initial Value Problems of Second Order with Discontinuities
... standard homotopy analysis method was applied to initial value problems of the second order with some types of discontinuities, for both linear and nonlinear ...the ... See full document
16
Solutions of Second Order Nonlinear Singular Initial Value Problems by Modified Laplace Decomposition Method
... approximate solutions of the Lane-Emden equation is given by Adomian decomposition, homotopy perturbation, Variational iteration, Differential transform [4]-[12] and so ...Decomposition Method (LADM) ... See full document
7
Green’s function homotopy perturbation method for the initial boundary value problems
... The organization of the rest of the paper is as follows. The idea of SGHPM is given in Sect. 2. In Sect. 3, the solution existence and convergence analysis for SGHPM method are investigated. The applications of ... See full document
13
Numerical Solutions of a Class of Second Order Boundary Value Problems on Using Bernoulli Polynomials
... Galerkin method. But it is limited only to second order BVP with Dirichlet boundary conditions, and to first order nonlin- ear differential ...difference method [12] and ... See full document
9
Positive Solutions of Singular Initial-Boundary Value Problems to Second-Order Functional Differential Equations
... where a min{0, inf{τ t : 0 ≤ t ≤ 1}}, b max{1, sup{τt : 0 ≤ t ≤ 1}}, and the existence of positive solutions to 1.1 is obtained. When τt t − r in 1.1, Agarwal and O’Regan in 5, Lin and Xu in 6 discussed the ... See full document
12
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 ...simple problems ... See full document
5
On the exact and the approximate solutions of second-order fuzzy initial value problems with constant coefficients
... approximate solutions by the Adomian method are the less than the errors of the the lower and upper approximate solutions by the undetermined fuzzy coefficient method for the case of positive ... See full document
8
The comparison of optimal homotopy asymptotic method and homotopy perturbation method to solve Fisher equation
... Decomposition method (ADM) for the exact solu- tions of Fisher’s equation and a nonlinear diffusion equation of the Fisher’s type ...used Homotopy perturbation method (HPM), variational ... See full document
11
A new non-linear multistep method based on centroidal mean in solving initial value problems
... test problems mentioned above; and it performs better than 2-step Adams-Moulton for different step length for Problem 1 and Problem ...Adams-Moulton method in solving Problem 3 which is a system of first ... See full document
10
Numerical analysis via Chebyshev pseudospectral method for nonlinear initial/boundary value problems
... In this section, the numerical results obtained by using Chebyshev collocation method for the present physical models shall be validated through comparisons with the available exact or a[r] ... See full document
23
Numerical Solution for Initial and Boundary Value Problems of Fractional Order
... DOI: 10.4236/apm.2018.812051 832 Advances in Pure Mathematics prominent tools that are perfectly representing many engineering and physical problems. However, solving fractional differential equations are a ... See full document
14
A New One Twelfth Step Continuous Block Method for the Solution of Modeled Problems of Ordinary Differential Equations
... X-value Exact Result Computed Result Error in our Method Error in Awoyemi et al. [6] 0.00000000 0.000000000000 0.000000000000 0.000000e−00 0.0000e−00 0.10000000 1.050041729278 1.050041729278 3.086420e−14 ... See full document
11
An Eight Order Two Step Taylor Series Algorithm for the Numerical Solutions of Initial Value Problems of Second Order Ordinary Differential Equations
... approximate method is applied to solve the resulting Equation (2) as widely discussed by Fatunla [1] and Lambert [2] and Spiegel ...the numerical method so that higher order ordinary ... See full document
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