Local integration of 2-D fractional telegraph equation via local radial point interpolant approximation

• Published in: European physical journal plus Vol. 130; no. 2; p. 33
• Main Authors: Hosseini, Vahid Reza, Shivanian, Elyas, Chen, Wen
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 25.02.2015; Springer Nature B.V
• Subjects: Applied and Technical Physics; Approximation; Atomic; Boundary conditions; Collocation methods; Complex Systems; Condensed Matter Physics; Dirichlet problem; Galerkin method; Interpolation; Mathematical analysis; Mathematical and Computational Physics; Meshless methods; Molecular; Nodes; Optical and Plasma Physics; Physics; Physics and Astronomy; Quadratures; Radial basis function; Regular Article; Shape functions; Theoretical; Meshless Method; Root Mean Square Error; Radial Basis Function; Root Mean Square; Thin Plate Spline

In this article, a general type of two-dimensional time-fractional telegraph equation explained by the Caputo derivative sense for (1 < α ≤ 2) is considered and analyzed by a method based on the Galerkin weak form and local radial point interpolant (LRPI) approximation subject to given appropriat...