TY - JOUR
T1 - Finite integration method for partial differential equations
AU - Wen, P. H.
AU - Hon, Y. C.
AU - Li, M.
AU - Korakianitis, T.
PY - 2013/12/15
Y1 - 2013/12/15
N2 - A finite integration method is proposed in this paper to deal with partial differential equations in which the finite integration matrices of the first order are constructed by using both standard integral algorithm and radial basis functions interpolation respectively. These matrices of first order can directly be used to obtain finite integration matrices of higher order. Combining with the Laplace transform technique, the finite integration method is extended to solve time dependent partial differential equations. The accuracy of both the finite integration method and finite difference method are demonstrated with several examples. It has been observed that the finite integration method using either radial basis function or simple linear approximation gives a much higher degree of accuracy than the traditional finite difference method. © 2013 Elsevier Inc.
AB - A finite integration method is proposed in this paper to deal with partial differential equations in which the finite integration matrices of the first order are constructed by using both standard integral algorithm and radial basis functions interpolation respectively. These matrices of first order can directly be used to obtain finite integration matrices of higher order. Combining with the Laplace transform technique, the finite integration method is extended to solve time dependent partial differential equations. The accuracy of both the finite integration method and finite difference method are demonstrated with several examples. It has been observed that the finite integration method using either radial basis function or simple linear approximation gives a much higher degree of accuracy than the traditional finite difference method. © 2013 Elsevier Inc.
KW - Elasto-dynamics
KW - Finite integral method
KW - Laplace transformation
KW - Partial differential equation
KW - Partial differential equation with fractional order
KW - Radial basis functions
UR - http://www.scopus.com/inward/record.url?scp=84887406537&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84887406537&origin=recordpage
U2 - 10.1016/j.apm.2013.05.054
DO - 10.1016/j.apm.2013.05.054
M3 - 21_Publication in refereed journal
VL - 37
SP - 10092
EP - 10106
JO - Applied Mathematical Modelling
JF - Applied Mathematical Modelling
SN - 0307-904X
IS - 24
ER -