New Homotopy Perturbation Method
A Modified New Homotopy Perturbation Method for Solving Linear Integral Equations – Differential
... a new Homotopy Perturbation Method (HPM) is introduced to obtain exact solutions of the systems of integral equations-differential and is provided examples for the accuracy of this ...to ...
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Analysis of the new homotopy perturbation method for linear and nonlinear problems
... a new homotopy perturbation technique is proposed to find the solution u(x, y) based on the decomposition of a right-hand side function f (x, y) which leads to the construction of new ...
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Removal of dimethylsulphide in a bench-scale biofilter: some analytical solutions
... Alma Masic et al. (Masic et al., 2010) developed a mathematical modeling of the oxygen profile in a nitrifying moving bed biofilm reactor. Recentely Giri et al. (Giri and Pandey, 2013) developed the mathematical model ...
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New Approach of Homotopy Perturbation Method for Solving the Equations in Enzyme Biochemical Systems
... paper, new homotopy perturbation method (iteration scheme) will be employed to solve the nonlinear dynamical problems that arise in thin membrane ...the method will be used to ...
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Numerical Solution of Model of Cancer Invasion with Tissue
... Chemotaxis-haptotaxis model of cancer invasion with tissue remodeling is one of the important PDE’s systems in medi- cine, mathematics and biomathematics. In this paper we find the solution of chemotaxis-haptotaxis model ...
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Mathematical Modeling Of Roll Motion Of Ships: New Approach Of Homotopy Perturbation Method
... Abstract: In this paper, a mathematical model of nonlinear roll motion of ships is discussed. The model relies on second-order nonlinear differential equation containing a nonlinear term associated with damping moment. ...
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Elzaki transform homotopy perturbation method for partial differential equations
... of new analytical methods or approximate analytical ...are homotopy analysis method [3], homotopy perturbation method [4], variational iteration method [5], differential ...
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A New Approximation to the Linear Matrix Equation AX = B by Modification of He’s Homotopy Perturbation Method
... a new modification of the homotopy perturbation method (HPM) will be proposed to obtain the approximated solution of the matrix equation in the form AX = ...
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Analytical Computation of the Perihelion Precession in General Relativity via the Homotopy Perturbation Method
... a new approach in studying the planetary orbits and the perihelion precession in General Relativity by means of the Homotopy Perturbation Method ...appropriate homotopy what leads to ...
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Laplace Homotopy Perturbation Method of Solving Nonlinear Partial Differential Equations
... requires new techniques to obtain the exact or approximate ...analytical method of solving nonlinear equations are Lyapunov artificial small parameter method ([Ado 94]), perturbation ...
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HOMOTOPY PERTURBATION METHOD FOR SOLVING FLOW IN THE EXTRUSION PROCESSES
... the method for different applications is very ...different new methods have recently introduced some ways to eliminate the small parameter such as artificial parameter method by Liu [9], the ...
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New Approach for Solving Three Dimensional Space Partial Differential Equation
... the new method based on couple new transform with HPM which we will call the new transform homotopy perturbation method (NTHPM) to solve three dimensions second order ...
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A New Approach Towards Laplace Homotopy Perturbation Method
... Abstract. Laplace Homotopy Perturbation method is projected in a modified form to solve highly nonlinear differential equations.This approach simplifies the equations and avoid the computations of ...
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Solution by Homotopy Perturbation Method of Linear and Nonlinear Diffusion Equation
... develop new techniques for obtaining analytical solutions which reasonably approximate the exact ...solutions. Homotopy perturbation method is such method which is straightforward and ...
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Variational Homotopy Perturbation Method for Solving Riccati Type Differential Problems
... VHPM method for problems without known exactly solutions that have been advanced for solving Riccati equation shows that the new technique is reliable and ...
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An improvement to the homotopy perturbation method for solving integro-differential equations
... In this paper, a new form of the homotopy perturbation method (NHPM) has been adopted for solving integro-differential equations. In the present study, firstly the NHPM is used to the ...
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A Comparison between Modified Sumudu Decomposition Method and Homotopy Perturbation Method
... decomposition method introduces a slight variation to the recursive relation (10) that will lead to the determination of the components of U in a faster and easier way [15] ...
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Vol 2, No 11 (2011)
... F, Homotopy perturbation method for multidimensional nonlinear coupled system of parabolic and hyperbolic equations, ...approximation method, in: ...difference method for nonlinear ...
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Homotopy Perturbation Method for Solving Highly Nonlinear Reaction-Diffusion-Convection Problem
... is Homotopy Perturbation Method (HPM) to solve linear and nonlinear partial differential ...this method provides an analytical or exact ...this method to get most accurate solution of a ...
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Homotopy Perturbation Method for Solving Moving Boundary and Isoperimetric Problems
... paper, homotopy perturbation method is applied to solve moving boundary and isoperimetric ...This method does not depend upon a small parameter in the equation, homotopy is constructed ...
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