The Exact and Numerical Solutions
Exact and numerical solutions for nonlinear differential equation of Jeffrey-Hamel flow
... Keywords : Nonlinear problem; Exat analyti solution; Numerial solution Jerey-Hamel ow.. ||||||||||||||||||||||||||||||||{.[r] ...
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On numerical solutions of fuzzy differential equations
... 3. Numerical Solutions of a Fuzzy Initial Value Problem Consider the first order Fuzzy Initial Value Problem ...three numerical methods: Euler method, Adomian method and Homotopy Analysis ...the ...
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Exact Solutions and Numerical Comparison of Methods for Solving Fractional-Order Differential Systems
... [10]. Numerical solutions of FDEs can also be obtained via many approaches such as the Adams-Bashforth-Moulton type predictor-corrector scheme or PECE (Predict, Evaluate, Cor- rect and Evaluate) method ...
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Numerical Solution to Boundary Layer Problems over Moving Flat Plate in Non Newtonian Media
... an exact solution in closed form, numerical solutions for the velocity distribution in the boundary layer for different power exponents will be presented, and the de- pendence of the skin friction ...
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Fractional-order Legendre wavelets and their applications for solving fractional-order differential equations with initial/boundary conditions
... have exact solution, in this case, finding numerical solutions has become the destination of many mathemati- cians, some of these methods include: Fourier transforms [14], spectral Tau method [11], ...
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Numerical Solutions of the Modified Burger’s Equation using FTCS Implicit Scheme
... between exact and nu- merical solutions of problem A1 with ∆t = ∆x = ...of exact solution and numerical solutions of linear Burger’s equation for FTCS implicit scheme are shown in ...
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Traveling Wave Solutions of Nonlinear Klein-Gordon Equation by Extended (G/G')-expansion Method
... Calculating exact and numerical solutions, in particular, traveling wave solutions, of nonlinear equations in mathematical physics plays an important role in nonlinear ...obtaining ...
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Exact Solutions of the Generalized Kuramoto-Sivashinsky Equation
... the exact solutions of the generalized Kuramoto- Sivashinsky equation ...plotted. Numerical solutions of the generalized Kuramoto- Sivashinsky equation ...
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Numerical Solution of Volterra Integral Equations of Second Kind
... The numerical results obtained by the proposed method are in good agreement with the exact ...the numerical solutions coincide with the exact solutions even a few ...
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A Class of Momentum-Preserving Fourier Pseudo-Spectral Schemes for the Korteweg-de Vries Equation
... We start with the cnoidal-waves test problem with ∆t = 0.001 and M = 20, 40, 80, 160. Fig.2 and Fig.3 compare the numerical solutions of three proposed methods at t = 20. The exact solution is ...
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Approximate solutions of the Baer-Nunziato Model
... Eventually we emphasize that more accurate schemes are necessary in order to achieve cheap enough and reliable flow simulations. Among recent proposals dedicated to the Baer-Nunziato model, we would like to point out the ...
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Identification of nonlinear heat transfer laws from boundary observations
... the numerical solutions obtained using methods (M1) and (M2), for various initial guesses ...the numerical results are accurate, stable and robust, ...the numerical results for g(u), as a ...
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EXACT SOLUTIONS OF BOUNDARY-VALUE PROBLEMS
... Abstract: A survey of an approach for obtaining explicit formulae for solv- ing local and nonlocal boundary value problems (BVPs) for some linear partial differential equations is presented. To this end an extension of ...
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Exact Simplification of Support Vector Solutions
... Note that the solutions we obtain are not generally unique. Linear dependence is a collective property of the support vectors and the choice of which support vectors to eliminate is not a unique one. This ...
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Exact Solutions to the Generalized Benjamin Equation
... seek exact solutions of the generalized Ben- jamin ...new exact solutions are ...wave solutions are expressed by the hyperbolic functions, the trigonometric functions and the rational ...
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Exact Solutions to the Boussinesq Burgers Equations
... many solutions, based on the nonlinear transformation composed of (8), (9) and (12), we can obtain more solutions of Equations ((1) & (2)), provided that more solutions of Equation (12) are ...
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Exact Traveling Wave Solutions of Equalwidth Equation
... In this section, we study the traveling wave solutions of the generalized Equal width equation on the premise of finding the exact solution of the Equal width equation. The obtained solution is richer and ...
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New exact solutions for Kudryashov–Sinelshchikov equation
... wave solutions are ...wave solutions; in [33–38] was introduced a method called the G G -expansion method and one obtained a traveling solution for the four well established nonlinear evolution ...wave ...
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Exact solutions of the vorticity equation on the sphere as a manifold
... with an eigenfunction Y (λ', µ'), which has its singu- larity in the outer region. The same type of solution is chosen for the outer region, but such that Y (λ', µ') has its singularity in the inner region. Then both ...
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M25 Half Angle and Sum-Product Formulas.pdf
... Example: Give the exact numerical value of sin 202.. Solution:.[r] ...
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