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# Browsing Mathematics by Author "Syamsudhuha"

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• (2016-02-04)
This article discusses the application of homotopy analysis method to solve linear Volterra and Fredholm integral equations of the rst and second kind. To see the advantages, this method is applied to the four examples ...
• (2013-03-13)
The aim of this paper is to solve a heat equation by using Interval Finite Difference method. The method is the modified form of Finite Difference Method which includes the error terms of the corresponding conventional ...
• (2016-02-04)
This article discusses the iterative method for solving a system of linear equations using KSOR method, which is the modification of Successive over Relaxation (SOR) method. The main difference between KSOR method and ...
• (2016-04-27)
This article discusses the application of multigrid method to solve systems of linear equations obtained from two-dimensional Poisson equation in the discretization by finite difference method. This multigrid method is ...
• (2013-06-25)
This paper discusses the modification of Adomian decomposition method for solving singular initial value problems in the second order ordinary differential equations. Numerical illustrations show that the method gives ...
• (2016-04-26)
This article discusses the modi ed homotopy perturbation method based on a Taylor expansion of the kernel of system Volterra integral equations of the second kind. This method can only be applied to the system Volterra ...
• (2016-02-04)
This article discusses the modified homotopy perturbation methods based on Newton method, by combining techniques and homotopy perturbation, to solve nonlinear equations. Then the methods were compared with the modified ...
• (2016-05-23)
A partition of a positive integer is the representation of the positive integer its self or sums of the other positive integers, while the partition function is the number of partitions. This article disscusses a simple ...
• (2014-03-25)
This paper discusses an application of the Shank transformation on Adomian de-composition method to solve a nonlinear equation. Some numerical illustrations are given to show the effectiveness of this method. Numerical ...
• (2016-02-04)
This article discusses the solutions of systems of partial differential equations using the homotopy perturbation method and Adomian decomposition method. A numerical example shows that the solution of the partial ...
• (2016-02-04)
This article discusses the necessary and sufficient condition for the system of linear equations Ax = b where A is an m × n matrix, with m < n and b is an n × 1 vector to have a solution. The discussion involves determining ...