TY - JOUR
T1 - A hybrid wavelet-meshless method for variable-order fractional regularized long-wave equation
AU - Hosseininia, M.
AU - Heydari, M. H.
AU - Avazzadeh, Z.
N1 - Publisher Copyright:
© 2022 Elsevier Ltd
PY - 2022/9
Y1 - 2022/9
N2 - This study employs a kind of non-singular variable-order fractional derivative to define a variable-order fractional version of the 2D regularized long-wave equation. The Legendre cardinal wavelets as a new family of the cardinal wavelets are introduced. A hybrid method based on the Legendre cardinal wavelets and radial basis functions is established to find the solution of this problem. This approach turns solving this equation into finding the solution of a nonlinear system of algebraic equations without utilizing discretization. The accuracy of the proposed technique is checked by solving four examples.
AB - This study employs a kind of non-singular variable-order fractional derivative to define a variable-order fractional version of the 2D regularized long-wave equation. The Legendre cardinal wavelets as a new family of the cardinal wavelets are introduced. A hybrid method based on the Legendre cardinal wavelets and radial basis functions is established to find the solution of this problem. This approach turns solving this equation into finding the solution of a nonlinear system of algebraic equations without utilizing discretization. The accuracy of the proposed technique is checked by solving four examples.
KW - Fractional regularized long-wave equation
KW - Legendre cardinal wavelets
KW - Radial basis functions
KW - Variable-order fractional derivative
UR - http://www.scopus.com/inward/record.url?scp=85131425768&partnerID=8YFLogxK
U2 - 10.1016/j.enganabound.2022.05.021
DO - 10.1016/j.enganabound.2022.05.021
M3 - Article
AN - SCOPUS:85131425768
SN - 0955-7997
VL - 142
SP - 61
EP - 70
JO - Engineering Analysis with Boundary Elements
JF - Engineering Analysis with Boundary Elements
ER -