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Radial basis solutions of second‐order quasi‐linear hyperbolic boundary value problem
Author(s) -
SoradiZeid Samaneh,
Mesrizadeh Mehdi,
Cattani Carlo
Publication year - 2021
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.22626
Subject(s) - mathematics , discretization , collocation (remote sensing) , mathematical analysis , boundary value problem , basis (linear algebra) , hyperbolic partial differential equation , boundary (topology) , taylor series , order (exchange) , radial basis function , partial differential equation , geometry , computer science , finance , economics , machine learning , artificial neural network
In this study, a new applicable design is studied for solving a second‐order quasi‐linear hyperbolic equation with nonlocal mixed boundary conditions. A localized collocation radial basis functions method is used for spatial discretization. Also, the Taylor method and group preserving scheme are applied for time discretization. Several non‐trivial examples are carried out to evaluate the performance and effectiveness of the suggested framework.