@article{MAKHILLJEAS2017122014922,
    title = {Meshless Point Interpolation Formulation of Kinematic Wave
Equation for Flood Routing},
    journal = {Journal of Engineering and Applied Sciences},
    volume = {12},
    number = {20},
    pages = {5286-5293},
    year = {2017},
    issn = {1816-949x},
    doi = {jeasci.2017.5286.5293},
    url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2017.5286.5293},
    author = {H.,M.A. Mohd,E.H.,A.K.B.,Z. and},
    keywords = {Meshless method,point interpolation method,finite difference method,finite element method,Saint Venant kinematic wave equation,hydrologic modelling},
    abstract = {This study presents the meshless Point Interpolation Method (PIM) formulation to solve kinematic
wave equation for flood routing. It details on Galerkin residual method employing PIM shape functions in
discretizing the unsteady partial differential equation. Two nonlinear solvers are considered; Picard and
Newton-Raphson. The formulation are verified against both hypothetical data obtained from conventional
numerical methods (finite difference and finite element method) and gauged data obtained from an actual river.
Close agreements are obtained between the proposed PIM formulation and the conventional methods thus
highlight the potential of PIM as an alternative numerical method in the field of hydrologic modelling.}
    }