# Top PDF On analytical solutions for the nonlinear diffusion equation

### On analytical solutions for the nonlinear diffusion equation

**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 ...

9

### Adomian decomposition method, nonlinear equations and spectral solutions of burgers equation

**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 ...

6

### Analytical representation of the solution of the space kinetic diffusion equation in a one-dimensional and homogeneous domain

**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**...

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### ON A NONLINEAR THIRD-ORDER EVOLUTION EQUATION - PRESENT DEVELOPMENTS

**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 ...

8

### Global solutions to the initial-boundary value problem for the quasilinear viscoelastic equation with a derivative nonlinearity

**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**...

22

### Analytical Solution for Optimal Low-Thrust Limited-Power Transfers Between Non-Coplanar Coaxial Orbits

**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 ...

28

### Existence of solutions for nonlinear mixed type integrodifferential equation of second order

**the**existence of

**solutions**for

**nonlinear**mixed Volterra- Fredholm integrodifferential

**equation**of second order with nonlocal conditions in Banach ...based

**on**Leray-Schauder ...

12

### An analytic algorithm for the space-time fractional reaction-diffusion equation

**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 ...

16

### Traveling wave solutions of a biological reaction-convection-diffusion equation model by using $(G'/G)$ expansion method

**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 ...

5

### APPLICATION OF HOMOTOPY PERTURBATION METHOD ON SOME LINEAR AND NONLINEAR PARABOLIC EQUATIONS

**the**Chinese mathematician Ji-Huan He ...techniques,

**the**homotopy perturbation method leads to an

**analytical**approximate and exact

**solutions**of

**the**

**nonlinear**equations easily ...

5

### Nonlinear Whitham-Broer-Kaup Wave Equation in an Analytical Solution

**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**...

7

### Rev. bras. meteorol. vol.31 número2

**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 ...

9

### Approximate analytical solution of diffusion equation with fractional time derivative using optimal homotopy analysis method

**the**time-fractional

**diffusion**

**equation**with a given initial ...condition.

**The**fractional derivatives are considered in

**the**Caputo ...at

**the**most three convergence control ...

15

### A new path integral approximation to photon propagation in turbid media

**the**propagation of pho- tons in bounded homogeneous turbid ...centred

**on**

**the**

**diffusion**limit, new analytic

**solutions**for continuous wave reflectance and transmittance are ...

31

### A new analytical formulation of retention effects on particle diffusion processes

**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 ...

22

### Epidemic processes and diffusion on networks: analytical and computational aproaches

**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 ...

140

### On the Numerical Solution of Three-Dimensional Diffusion Equation with an Integral Condition

**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 ...

5

### Braz. J. Phys. vol.36 número4A

**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 ...

4

### Rev. bras. meteorol. vol.22 número1

**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 ...

9

### Multiple periodic solutions for a fourth-order discrete Hamiltonian system

**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 ...

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