[PDF] Top 20 On analytical solutions for the nonlinear diffusion equation
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On analytical solutions for the nonlinear diffusion equation
... ABSTRACT. The nonlinear diffusion equation arises in many important areas of nonlinear problems of heat and mass transfer, biological systems and processes involving fluid flow and most ... See full document
9
Adomian decomposition method, nonlinear equations and spectral solutions of burgers equation
... importance the existence of methods to find their real roots. As analytical solutions are only available in few cases, the construc- tion of efficient numerical methods are ...and ... See full document
6
Analytical representation of the solution of the space kinetic diffusion equation in a one-dimensional and homogeneous domain
... where the solution was expanded around the center of ...reduced the original problem to a set of ODEs that determine the explicit time de- pendence of the expansion ...in the ... See full document
13
ON A NONLINEAR THIRD-ORDER EVOLUTION EQUATION - PRESENT DEVELOPMENTS
... is the Casimir operator; the group order is five containing 3 31 ...new solutions. The metric (with the symmetric 5 second-rank tensor as the Cartanian) satisfies ... See full document
8
Global solutions to the initial-boundary value problem for the quasilinear viscoelastic equation with a derivative nonlinearity
... a nonlinear perturbation by ...restrictions on α, β and γ will be made in our theorem. The conditions ...for the uniqueness of ...keep the conditions for simplicity of the ... See full document
22
Analytical Solution for Optimal Low-Thrust Limited-Power Transfers Between Non-Coplanar Coaxial Orbits
... first-order analytical solution for optimal time-fixed low-thrust limited power transfers (no rendezvous) between elliptic coaxial non-coplanar orbits in an inverse-square force field is determined through ... See full document
28
Existence of solutions for nonlinear mixed type integrodifferential equation of second order
... investigate the existence of solutions for nonlinear mixed Volterra- Fredholm integrodifferential equation of second order with nonlocal conditions in Banach ...based on Leray-Schauder ... See full document
12
An analytic algorithm for the space-time fractional reaction-diffusion equation
... is the concentration, F (u) = r (x,t) u (x,t) is the reaction parameter and D > 0 is the diffusion coefficient, α and β are a parameter describing the order of the fractional ... See full document
16
Traveling wave solutions of a biological reaction-convection-diffusion equation model by using $(G'/G)$ expansion method
... exact solutions. The reliability of the method and reduction in the size of computational domain give this method a wider ...With the aid of Maple and by putting them back into ... See full document
5
APPLICATION OF HOMOTOPY PERTURBATION METHOD ON SOME LINEAR AND NONLINEAR PARABOLIC EQUATIONS
... by the Chinese mathematician Ji-Huan He ...techniques, the homotopy perturbation method leads to an analytical approximate and exact solutions of the nonlinear equations easily ... See full document
5
Nonlinear Whitham-Broer-Kaup Wave Equation in an Analytical Solution
... find the analytical solution of nonlinear Whitham-Broer-Kaup (WBK), Modified Boussinesq (MB) and Approximate Long Wave (ALW) ...All the examples show that the results of the ... See full document
7
Rev. bras. meteorol. vol.31 número2
... of the advection-diffusion equation can be written an integral form and also in series formulations with the same main property that both solutions are equivalent (Moreira et ... See full document
9
Approximate analytical solution of diffusion equation with fractional time derivative using optimal homotopy analysis method
... of the time-fractional diffusion equation with a given initial ...condition. The fractional derivatives are considered in the Caputo ...at the most three convergence control ... See full document
15
A new path integral approximation to photon propagation in turbid media
... describe the propagation of pho- tons in bounded homogeneous turbid ...centred on the diffusion limit, new analytic solutions for continuous wave reflectance and transmittance are ... See full document
31
A new analytical formulation of retention effects on particle diffusion processes
... of diffusion with retention has been already observed and reported by several ...authors. Analytical formulations have also been proposed by some authors based on certain assumptions focused ... See full document
22
Epidemic processes and diffusion on networks: analytical and computational aproaches
... light on some of these questions. We review, in the first part of this thesis (chapter 2), the fundamental concepts that are used during all the ...emphasizing the uncorrelated ... See full document
140
On the Numerical Solution of Three-Dimensional Diffusion Equation with an Integral Condition
... implement the decomposition method for solving a three-dimensional diffusion equation with non local ...condition[11,13-15]. The decomposition method can also be applied to a large class of ... See full document
5
Braz. J. Phys. vol.36 número4A
... as the starting point for understanding the com- plex magnetic structures in solid ...explains the existence of ferromagnetism and antiferromag- netism at temperature below the Curie ...in ... See full document
4
Rev. bras. meteorol. vol.22 número1
... of the turbulent transport of pollutants within the Planetary Boundary layer ...(PBl). the lagrangian model is based on a three-dimensional form of the langevin equation for ... See full document
9
Multiple periodic solutions for a fourth-order discrete Hamiltonian system
... denotes the gradient of F (t, x) in x. As is known to us, the development of the study of periodic solutions of differential equations is relatively ...periodic solutions of ... See full document
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