Analysis of Partial Differential Equation
Finite element analysis for a coupled bulk–surface partial differential equation
... C IARLET , P. G. & R AVIART , P.-A. (1972b) The combined effect of curved boundaries and numerical integration in isoparametric finite element methods. The Mathematical Foundation of Finite Element Method with ...
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A stochastic differential equation analysis of cerebrospinal fluid dynamics
... Fokker-Planck partial differential equation, the problem is non-trivial, but Karlin and Taylor [31] circumvent the difficulty by solving a boundary-value problem associated with this dynamically ...
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Approximate controllability of fractional partial differential equation
... theory analysis for the mild solution of the ...diffusion equation. The fractional diffusion differential equation in the present paper generalizes the third-order diffusion equation ...
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NUMERICAL SOLUTION OF BLACK – SCHOLES PARTIAL DIFFERENTIAL EQUATION USING DIRECT SOLUTION OF SECOND - ORDER ORDINARY DIFFERENTIAL EQUATION WITH TWO - STEP HYBRID BLOCK METHOD OF ORDER SEVEN
... Ordinary differential equations (ODEs) are commonly used for mathematical modelling in many diverse fields such as engineering, operations research, industrial mathematics, behavioural sciences, artificial ...
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A Diffusion Equation with Exponential Nonlinearity Recant Developments
... nonlinear partial differential equation (nPDE) of the second order which is important in physical, chemical and technical ...The analysis allows one to deduce wider classes of solutions either ...
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Techniques for Solving a Certain Class of Partial Differential Equation by Fractional Fourier Transform
... on Differential Equations using fractional powers of the Fourier Transform on the Schwartz space (Bailey and Swartzrauber, 1991) compute the Fractional Fourier transforms using Fast Fourier Transforms algorithm ...
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A Neuro-Finite Element Analysis of Partial Differential Equations of Solid Mechanics
... the partial differential equation to the discrete model is a non-trivial mathematical problem, and the selection of an appropriate finite-dimensional representation is rarely a matter of arbitrar y ...
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Stability and Hopf Bifurcation Analysis of Delayed Rosenzweig-MacArthur Model with Prey Immigration
... characteristic equation through partial differential equation theory, and by analyzing the distribution of the roots of the characteristic equation, the local stability of the positive ...
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Analysis of the Navier Stokes Equations
... nonlinear partial differential Eq- uations (02a) to ...simple differential equation which is expressed by the law of conservation of mass ...this equation is required as a fourth ...
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Qualitative Analysis of Nonlinear Elliptic Partial Differential Equations - Free Computer, Programming, Mathematics, Technical Books, Lecture Notes and Tutorials
... In Chapter 2, we continue with another elementary method for finding solutions, namely, the implicit function theorem. The main abstract result in this chapter is a cele- brated bifurcation theorem whose roots go back to ...
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Nonparametric Model Calibration for Derivatives
... Consistently fitting vanilla option surface is an important issue in derivative modelling. In this paper, we consider three different models: local and sto- chastic volatility, local correlation, hybrid local volatility ...
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Multi solitons solutions of Korteweg de Vries (KdV) equation : six solitons
... The Korteweg-de Vries (KdV) equation is a nonlinear partial differential equation that can be solving numerically and analytically. To obtain the solutions of the KdV equation is not ...
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A Study on Applications of Partial Differential Equation and Its Pelation with Fourier
... wave equation, Laplace equation in a half-plane and in a semi-infinite strip, and some partial differential equation on the entire real ...
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Computational Fluid Dynamics
... Navier-Stokes equations are a system of non linear partial differential equations of viscous Newtonian fluid motion. They are a mathematical model of physical conservation laws of mass, energy, species and ...
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A partial differential equation to model the Tacoma Narrows Bridge failure
... A partial differential equation to model the Tacoma Narrows A partial differential equation to model the Tacoma Narrows Bridge failure.. Bridge failure.[r] ...
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The effect of small scale on the vibrational response of nano-column based on differential quadrature method
... nonlocal parameter value. The nonlocal cantilever nano- column shows stiffening effects due to the small scale effect and tends to become stiffer compared to local one. It is believed that new results are presented for ...
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Vol 9, No 1 (2018)
... solving partial differential equations such as Heat Equation, Wave Equation, Laplace Equation and Telegrapher’s Equation ...
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Oscillation for a Class of Fractional Differential Equation
... fractional differential equation with Robin and Dirichlet boundary ...the differential inequality method, oscillation criteria for a class of nonlinear fractional differential equation ...
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On the Elementary Solution for the Partial Differential Operator $\circledcirc_c^{k}$ Related to the Wave Equation
... by equation (7), δ is the Dirac-delta distribution, k is a nonnegative integer and m is a nonnegative real number, then u(x) = W 2k,c (u, m) is an elementary solution of the operator c + m ...
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New Exact Travelling Differential Equations by Using Tanh Method
... The tanh method will be introduced as presented by Malfliet(Malfliet, 1992),(Malfliet, 2004) and by Wazwaz(Wazwaz,2006), (Wazwaz,2006), (Wazwaz,2006). The tanh method is based on a priori assumption that the traveling ...
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