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Exact solution of time fractional partial differential equation
Time fractional partial differential equation Laplace transform
2010/9/14
In this paper, a time fractional partial differential equation is considered,where the fractional derivative is defined in the Caputo sense. A function transform and Laplace transform method along wit...
An exact solution for the differential equation governing the lateral motion of thin plates subjected to lateral and in-plane loadings
The Adomian Decomposition Method (ADM) Thin plates
2010/9/13
One of the powerful analytical methods to solve partial differential equations is the Adomian decomposition method (ADM). This paper presents a novel approach for the dynamic analysis of a flexible pl...
Exact solution of a constrained optimization problem in thermoelectric cooling
Optimization Constrained nonlinear functional optimization
2010/9/10
We consider an optimization problem in thermoelectric cooling. The maximum achievable cooling temperature in thermoelectric cooling is, among other things, affected by the Seebeck coefficient profile ...
Representation of exact solution for singular boundary value problems of system of equations
System of equations Singular boundary value problem
2010/9/15
An approximation method with property of projection and interpolation for singular boundary value problems of system of equations under the reproducing kernel space W3 2 W3
2 is considered. The exac...
An exact solution for the deflection of a clamped rectangular plate under uniform load
Rectangular plate clamped plate deflection
2010/9/16
Rectangular plates under uniform load, x = ±a, y = ±b, are considered.An exact solution is presented in which each term of the series is trigonometric and hyperbolic, and identically satisfies the bou...
An alternative exact solution method for the reduced wave equation with a variable coefficient
Helmholtz equation Differential equation
2010/9/16
In this paper we present the exact solution of reduced wave equation with a variable coefficient Δu(x) + k2n(x)u(x) = 0 for n(x) = n(r) ,r = |x| by the solution of a classic Riccati differential equat...