Approximate Solution
Analytic approximate solution for the KdV equation with the homotopy analysis method
... analytic approximate solution of the well-known Korteweg-de Vries (KdV) ...series solution. The resulted HAM solution at eighth order approximation is then compared with that of the exact ...
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Lower semicontinuity of approximate solution mappings for parametric generalized vector equilibrium problems
... exact solution of many practical problems. Naturally, investigating approximate solutions of parametric equilibrium prob- lems is of interest in both practical applications and ...of approximate ...
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Approximate Solution of Strongly Nonlinear Vibrations which Vary with Time
... An approximate solution of nonlinear deferential system with slowly varying coefficients has been ...The solution for different initial condition shows good coincidence with corresponding numerical ...
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Approximate solution of forced korteweg-de vries equation
... the solution to equation (1) was given by Figure 3, Figure 4, Figure 5 and Figure 6 ...The approximate solution of the nonlinear partial differential equation (1) with the depth of depression zone h ...
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An approximate solution of fractional cable equation by homotopy analysis method
... Here, we will use the HAM, which is an approximate solution to solve this equation. The HAM method was developed in by Liao in []. This method has been successfully applied by many authors [–]. ...
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Approximate solution of the fuzzy fractional Bagley-Torvik equation by the RBF collocation method
... Most of the literature deals with the different methods for the uncertain fractional differential equations to obtain the approximate solutions. Not much work has been made to determine the approximate ...
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Approximate Solution of the Singular Perturbation Problem on Chebyshev Gauss Grid
... Matrix methods, now-a-days, are playing an important role in solving the real life problems governed by ODEs and/or by PDEs. Many differential models of sciences and engineers for which the existing method- ologies do ...
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Approximate Solution of Fuzzy Matrix Equations with LR Fuzzy Numbers
... fuzzy approximate solution of the fuzzy matrix equation is obtained by solving two crisp matrix ...fuzzy solution to the fuzzy matrix equation is also ...
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Modeling Of The Gaussian Laser Beam By Approximate Solution Of Helmholtz Equation
... that approximate a Gaussian profile, in which case the laser is said to be operating in the fundamental transverse ...is approximate solution of Helmholtz ...by solution of homogeneous wave ...
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The new modified Ishikawa iteration method for the approximate solution of different types of differential equations
... In this article, the new Ishikawa iteration method is presented to find the approximate solution of an ordinary differential equation with an initial condition. Additionally, some numerical examples with ...
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Approximate solution of a system of singular integral equations of the first kind by using Chebyshev polynomials
... The aim of the present work is to introduce a method based on the Cheby- shev polynomials for numerical solution of a system of Cauchy type singular integral equations of the first kind on a finite segment. ...
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Approximate Solution of Fuzzy Fractional Differential Equations
... In the present paper we propose a method for computing approximations of solution of a Fuzzy Fractional Differential Equation (FFDE) using Variational Iteration Method (VIM). The vari- ational iteration method has ...
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Approximate Solution Method of the Seventh Order KdV Equations by Decomposition Method
... to approximate the solution of the Korteweg-de Vries (KdV) equations of se- venth order, which are Kaup-Kuperschmidt equation and seventh order Ka- wahara ...of solution are examined by calculating ...
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Analytical approximate solution of leptospirosis epidemic model with standard incidence rate
... the solution of leptospirosis epidemic model is ...the solution of proposed model, that is Homotopy Perturbation ...the solution by Homotopy Perturbation Method and compared the results with ...
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Approximate Solution of the Volterra Random Integral Equations
... two approximate methods, namely the collocation method and the method of approximating the integral ...its solution analytically, and so numerical and approximate methods seem to be necessary to be ...
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Study on Approximate Solution of Fractional Order Biological Population Model
... In this paper, we present an algorithm of the homotopy analysis Elzaki transform method (HAETM) which is a combination of Elzaki transform method and homotopy analysis method (HAM) to solve a more general biological ...
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Approximate solution for Euler equations of stratified water via numerical solution of coupled KdV system
... B. Convergence proof of the scheme. We would prove that the solution of the difference equations (4.1) and (4.2) converges to the solution of (1.15) if the exact solution is a continuously ...
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On the approximate solution of Hosszus functional equation
... [17] Originally, he had proposed the following more specific question during a lecture given before the University of Wisconsin’s Mathematics Club in 1940.. ∗ Corresponding author2[r] ...
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Analytical Approximate Solution of Fractional Wave Equation by the Optimal Homotopy Analysis Method
... This paper is organized as follows. In Section two, basic definitions of fractional deriva- tive operators involved are presented. Proof of continuation of solution is presented in Section three. The OHAM is ...
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An efficient approximate solution method for predicting the buckling of axially compressed imperfect cylindrical shells
... ABSTRACT A theoretical investigation of an efficient numerical solution scheme to solve approximately the nonlinear Donnell equations for imperfect isotropic cylindrical shells with edge[r] ...
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