In this paper, based on the law of non-Fourier heat conduction, using the wave function expansion method, the thermal wave scattering and temperature distributions of semi-infinite functionally graded materials containing a spherical inclusion were presented.
After 1939 Titchmarsh concentrated his research on the theory of function expansion in eigenfunctions (see eigenvalue) of differential equations, an area of vital importance to quantum field theory, and published many of his results in Eigenfunction Expansions Associated with Second-Order Differential Equations (Part 1, 1946; Part 2, 1958).
Hybrid polynomial correlated function expansion (H-PCFE) is a novel metamodel formulated by coupling polynomial correlated function expansion (PCFE) and Kriging.
The proposed methods couple differential evolution algorithm (DEA) with polynomial correlated function expansion (PCFE).
This paper proposes a Polynomial Chaos type spectral approach based on orthogonal function expansion.
The method of wave function expansion is adopted for the theoretical derivations.
Thus, any 3D object can be represented as: using a 3D Zernike function expansion.
An eigen function expansion method was used to find the velocity distribution.
Numerical resulTheserieshat the dynamic solutionscofcenthetion and pore pressures concentration are mainly relative to tHelmholtzhapequationsdence, arele obtainedence, dimensionless frequency of incident wave, stiffness and pore ratio of the poroelastic half-space and valley.
To express the electro-elastic coupling field, the wave function expansion method is introduced.
Lü [31] solved Eq. (1) by a general Jacobi elliptic function expansion method, and obtained Jacobi elliptic function solutions.
