one-dimensional-approximate equation
EXPONENTIAL B-SPLINE COLLOCATION METHOD FOR THE NUMERICAL SOLUTION OF ONE-SPACE DIMENSIONAL NONLINEAR WAVE EQUATION WITH STRONG STABILITY PRESERVING TIME INTEGRATION
... In this paper, a new numerical method is presented to approximate the solution of second order one- dimensional nonlinear wave equation. The method is based on collocation of exponential ...
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Rational Approximation for the one-Dimensional Bratu Equation
... an approximate solution to the eigen- relation (5) then we transform the non-linear Bratu problem into a linear form and hence apply a collocation method that ensures that the polynomial solution is correct to the ...
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A Review and Update of Analytical and Numerical Solutions of the Terzaghi One Dimensional Consolidation Equation
... We found for the different parameters used in our simulations that we almost have the same changes in the nu- merical and analytical resolutions [6] [7]. However, we notice more accuracy on the analytical resolution due ...
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Discontinuous Legendre Wavelet Galerkin Method for One Dimensional Advection Diffusion Equation
... lower dimensional mass matrices, which can be easily inverted by hand and stored efficiently in computer-memory compared with the WG ...and approximate error of the DLWG approach are also addressed in this ...
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An approximate analytical solution of the fractional multi dimensional Burgers equation by the homotopy perturbation method
... the one-dimensional Burgers equation by substituting the Caputo fractional derivative for the time and the space ...Burgers equation by Adomian decomposition ...Burgers equation. He ...
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A new approach for one dimensional sine Gordon equation
... the approximate solution by AS and ES, ...and approximate solutions, whereas RE indicates the relative error, that is the absolute error divided by the absolute value of the exact ...
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AN APPROXIMATE ANALYTICAL SOLUTION OF ONE-DIMENSIONAL GROUNDWATER RECHARGE BY SPREADING
... drainage equation, Ghotbi et ...Vries equation and the Newell -Whitehead equation by using HAM, Vajravelu and Van Gorder [26] have discussed solutions of nonlinear ordinary and partial differential ...
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AN APPROXIMATE SOLUTION OF TWO DIMENSIONAL NONLINEAR VOLTERRA INTEGRAL EQUATION USING NEWTON-KANTOROVICH METHOD
... two dimensional integral (NLTD) equations of the second kind have been exploited in several areas, including non homogeneous elasticity and electrostatics (Sankar ...many approximate methods have been ...
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Approximate Solution of One dimensional Heat Conduction Problem
... paper, one-dimensional heat equation subject to both Neumann and Dirichlet initial boundary conditions is presented and a Homotopy Perturbation Method is utilized for solving the ...
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An Approximate Analytical Solution of Nonlinear Differential Equation Arising In 95 Fluid Flow through Homogeneous Porous Media
... an approximate analytical solution of one dimensional nonlinear partial differential equation arising in oil-water displacement process (instability) in a homogeneous porous ...governing ...
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Dynamo : a one dimensional primitive equation model
... available potential energy; the right hand side represents the conversion from mean flow energy t o eddy energy; clearly, if the mean flow vanishes 6=By=O the total eddy energy remains c[r] ...
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Analysis of fractional partial differential equations by Taylor series expansion
... In [], the solutions for some nonlinear fractional differential equations are constructed by using symmetry analysis. But, in general, FDEs do not have exact analytic solutions, hence the approximate and numerical ...
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Numerical Solution of Burger’s_Fisher Equation in One - Dimensional Using Finite Differences Methods
... Fisher equation is of high importance for describing different ...Burgers-Fisher equation arises in field of financial mathematics, gas dynamics, traffic flow, applied mathematics and physics ...This ...
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Numerical Solutions of One-Dimensional Bioheat Transfer Equation in Cylindrical Living Tissues
... In this section, the effect of thermal conductivity and heat transfer coefficients in living tissue using the Finite Difference solution equation (6), and Galerkin Finite Element solution equation (11) will ...
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Exact controllability for a one-dimensional wave equation with the fixed endpoint control
... It is easy to check that this condition is not satisfied for the moving boundary in (.). In [], instead of transforming the problem from a non-cylindrical domain into a cylindrical domain, Sun et al. studied the ...
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Hole-effect chaos in the one-dimensional complex Ginzurg-Landau equation
... The aim of our paper is to understand and model the spatiotemporally chaotic hole-defect behavior of the one- dimensional 共 1D 兲 CGLE, built on the local interactions and dynamics of the holes and defects. ...
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Cubic B-spline Collocation Method for One-Dimensional Heat Equation
... In this study the cubic B-spline collocation method is used [7, 9, 10] for solving the heat equation (1) and the solutions are compared with the exact solution. In the section two, we have given the derivation for ...
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On Conformable Double Laplace Transform and One Dimensional Fractional Coupled Burgers' Equation
... Here, we provide double inverse laplace transform with respect to p and s exist for each terms in the right hand side of above equations. To illustrate this method for one dimensional conformable fractional ...
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Analytical Solution to the One Dimensional Advection Diffusion Equation with Temporally Dependent Coefficients
... advection-diffusion equation without adsorp- ...two dimensional advec- tion-dispersion equation with time dependent dispersion coefficients by eliminating convective terms by intro- ducing moving ...
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Meshless basis set for solving one-dimensional time independent Schrodinger Equation
... The wave function Ψ(𝐫, 𝑡) of position and time is also known as state function which describes the physical condition or motion of a particle. When the external potential 𝑉 is independent of time then we can construct a ...
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