Results 11 to 20 of about 111 (103)
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 In this paper, the radial basis function (RBF) collocation method is applied to solve nonlinear partial differential equations (PDEs). First, the given equation is reduced to time‐discrete form using Ө‐weighted scheme. Then, with the help of RBFs, the given PDEs are transformed into a system of algebraic equations that is easy to solve.
Rahman Ullah +6 more
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The Conical Radial Basis Function for Partial Differential Equations
Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020 The performance of the parameter‐free conical radial basis functions accompanied with the Chebyshev node generation is investigated for the solution of boundary value problems. In contrast to the traditional conical radial basis function method, where the collocation points are placed uniformly or quasi‐uniformly in the physical domain of the boundary ...
J. Zhang +3 more
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A Direct Meshless Method for Solving Two‐Dimensional Second‐Order Hyperbolic Telegraph Equations
Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020 In this paper, a direct meshless method (DMM), which is based on the radial basis function, is developed to the numerical solution of the two‐dimensional second‐order hyperbolic telegraph equations. Since these hyperbolic telegraph equations are time dependent, we present two schemes for the basis functions from radial and nonradial aspects.
Fuzhang Wang, Enran Hou, Imtiaz Ahmad
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Modeling Temporally Evolving and Spatially Globally Dependent Data
International Statistical Review, Volume 86, Issue 2, Page 344-377, August 2018., 2018 Summary The last decades have seen an unprecedented increase in the availability of data sets that are inherently global and temporally evolving, from remotely sensed networks to climate model ensembles. This paper provides an overview of statistical modeling techniques for space–time processes, where space is the sphere representing our planet.
Emilio Porcu +2 more
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International Journal of Atmospheric Sciences, Volume 2015, Issue 1, 2015., 2015 During premonsoon season (March to May) convective developments in various forms are common phenomena over the Gangetic West Bengal, India. In the present work, simulation of wind squall on three different dates has been attempted with the help of mesoscale model MM5.
Prosenjit Chatterjee +3 more
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International Journal of Differential Equations, Volume 2015, Issue 1, 2015., 2015 Meshless method of line is a powerful device to solve time‐dependent partial differential equations. In integrating step, choosing a suitable set of points, such as adaptive nodes in spatial domain, can be useful, although in some cases this can cause ill‐conditioning.
Jafar Biazar +2 more
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Numerical Solution of Nonlinear Sine‐Gordon Equation by Modified Cubic B‐Spline Collocation Method
International Journal of Partial Differential Equations, Volume 2014, Issue 1, 2014., 2014 Modified cubic B‐spline collocation method is discussed for the numerical solution of one‐dimensional nonlinear sine‐Gordon equation. The method is based on collocation of modified cubic B‐splines over finite elements, so we have continuity of the dependent variable and its first two derivatives throughout the solution range.
R. C. Mittal +2 more
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Bivariate multiquadric quasi-interpolation operators of Lidstone type
AIMS Mathematics, 2023 <abstract><p>In this paper, a kind of bivariate multiquadric quasi-interpolant with the derivatives of a approximated function is studied by combining the known multiquadric quasi-interpolant with the generalized Taylor polynomials that act as the bivariate Lidstone interpolation polynomials.
openaire +2 more sources
A Meshfree Quasi‐Interpolation Method for Solving Burgers’ Equation
Mathematical Problems in Engineering, Volume 2014, Issue 1, 2014., 2014 The main aim of this work is to consider a meshfree algorithm for solving Burgers’ equation with the quartic B‐spline quasi‐interpolation. Quasi‐interpolation is very useful in the study of approximation theory and its applications, since it can yield solutions directly without the need to solve any linear system of equations and overcome the ill ...
Mingzhu Li +3 more
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Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 We present finite difference schemes for Burgers equation and Burgers‐Fisher equation. A new version of exact finite difference scheme for Burgers equation and Burgers‐Fisher equation is proposed using the solitary wave solution. Then nonstandard finite difference schemes are constructed to solve two equations.
Lei Zhang +3 more
wiley +1 more source