[PDF] Top 20 A New Method for the Exact Solution of Duffing Equation
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A New Method for the Exact Solution of Duffing Equation
... The Duffing equation is a non-linear second-order differential ...The equation describes the motion of a damped oscillator with a more complicated potential than in simple harmonic motion; in ... See full document
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A new method for constructing exact solutions for a time-fractional differential equation
... [13] F. C. Meral, T.J. Royston, and R.Magin, Fractional calculus in viscoelasticity: An experimental study, Communications in Nonlinear Science and Numerical Simulation, 15(4) (2010), 939-945. [14] I. Podlubny, ... See full document
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Variational iteration transform method for solving burger and coupled burgers equations
... transform method is employed to determine the exact solution of the Burger equation which is one-dimensional and coupled Burger ’ s equations nonlinear partial differential ...This ... See full document
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Sinusoidal Time Dependent Power Series Solution to Modified Duffing Equation
... solving Equation (1) ...the equation. The numeric solution perfectly matches the exact ...the exact solution, it indistinguishably overlaps with the nu- meric ... See full document
10
Generalization of the Exact Solution of 1D Poisson Equation with Robin Boundary Conditions, Using the Finite Difference Method
... First, an inventory is made for possible cases of boundary conditions (DD) (DN), (ND), (RR), (RN), (NR), (DR) and (RD). Then, the cases, which must be solved are identified, considering that the first three cases of ... See full document
10
Notes on the Lie Symmetry Exact Explicit Solutions for Nonlinear Burgers’ Equation
... a method the continuous transformation group method, which simplified the original equation to obtain an exact solution by using the Lie group, or symmetry group transfor- ...This ... See full document
8
Exact solution of the(2+1)-dimensional hyperbolic nonlinear Schrodinger equation by Adomian decomposition method
... decomposition method was introduced and developed by George Adomian in [11, 12] and is well addressed in the ...decomposition method developed by Wazwaz and presented in ...this method to a wide ... See full document
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6. Variational iteration method for exact solution of gas dynamic equation using He's polynomials
... the analytical solutions for a wide class of boundary value problems. The method gives more realistic series solutions that converge very rapidly in physical problems. The fact that the VIMHP solves nonlinear ... See full document
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Stability Analysis of Periodic Solutions of Some Duffing’s Equations
... Duffing’s equation have been reported, (see [7] [8] [9] [10] ...second method (direct method) for stability analysis and con- struction of appropriate Lyapunov functions for other Duffing ... See full document
17
Use of a Strongly Nonlinear Gambier Equation for the Construction of Exact Closed Form Solutions of Nonlinear ODEs
... nonlinear equation due to Gambier (equation ...a method leading to a more general analytical solution for this specific equation, and in Section 4 we develop a general analytical ... See full document
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Analysis of fractional partial differential equations by Taylor series expansion
... have exact analytic solutions, hence the approximate and numerical solutions of these equations are ...iteration method, Adomian’s decomposition method, the homotopy perturbation method and ... See full document
12
A Study On Linear and Non linear Schrodinger Equations by Reduced Differential Transform Method
... Newell-Whitehead-Segel equation and generalized Hirota-Satsuma coupled KdV ...decomposition method, reduced diferential transform can apply directly to solve the problem without using adomian ...The ... See full document
6
New exact solutions for Kudryashov–Sinelshchikov equation
... auxiliary equation are directly obtained according to the method of solving the second ordinary differential equation, and by the expression of G, the authors obtained the expression of G G ... See full document
17
New method for the existence and uniqueness of solution of nonlinear parabolic equation
... unique solution of certain nonlinear parabolic equation is obtained by using the properties of H-monotone operators, consequently, the proof is simplified compared to the corresponding discussions in the ... See full document
18
RETRACTED: The Modified Simple Equation Method and Its Applications in Mathematical Physics and Biology
... -expansion method [23]-[26], the modified simple equation method [27]-[32] and so ...simple equation method for finding the exact traveling wave solution of some nonlinear ... See full document
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Exact Traveling Wave Solutions for the System of Shallow Water Wave Equations and Modified Liouville Equation Using Extended Jacobian Elliptic Function Expansion Method
... d ξ sn ξ = cn dn ξ ξ d ξ cn ξ = − sn dn ξ ξ d ξ dn ξ = − m sn cn ξ ξ (8) The derivatives of other Jacobian elliptic functions are obtained by using Equation (8). To balance the highest order linear term with ... See full document
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Solutions of Zhiber Shabat and Related Equations Using a Modified tanh coth Function Method
... Abstract The modified tanh-coth function method is used to obtain new exact travelling wave solutions for Zhiber-Shabat equation and the related equations: Liouville equation, sinh-Gordo[r] ... See full document
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Some New Exact Traveling Wave Solutions for the Generalized Benney Luke (GBL) Equation with Any Order
... 0 (1.1) The paper is organized as follows. In Section 2, we present the auxiliary equation method and its algorithm. In Section 3, we present some exact traveling wave solu- ... See full document
6
On the Exact Solution of Burgers Huxley Equation Using the Homotopy Perturbation Method
... Perturbation Method (HPM) is used to solve the Burgers-Huxley non-linear diffe- rential ...the exact solutions are obtained. The rapid convergence towards the exact solutions of HPM is nu- merically ... See full document
10
A New Mathematical Proposal for Generation of Shape Invariant Potentials and Optical Medium Using Supersymmetric Quantum Mechanics
... us exact solutions for certain kind of the second order linear differential equations by reducing it to a generalized equation of hyper-geometric type ...provides exact solutions in terms of special ... See full document
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