Kernel-Based Local Meshless Method for SolvingMulti-DimensionalWave Equations in Irregular Domain
11
TL;DR: In this paper, the application of kernel based local meshless method for solving multi-dimensional wave equations in irregular domain is explored and the method is tested for various types of boundary conditions in irregular shaped domain.
read more
Abstract: This work explores the application of kernel based local meshless method for solving multi-dimensional wave equations in irregular domain. The method is tested for various types of boundary conditions in irregular shaped domain. The method is capable of solving multi-dimension large scaled problems in complex shaped domain.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
Scattered Data Approximation
Marcel Urner
- 01 Jan 2016
TL;DR: Scattered data approximation is available in our book collection an online access to it is set as public so you can get it instantly.Thank you for reading scattered data approximation.
1K
Two meshless methods based on local radial basis function and barycentric rational interpolation for solving 2D viscoelastic wave equation
TL;DR: Comparisons between the proposed two meshless methods for spatial approximation of viscoelastic wave equation have observed that performance of the barycentric rational interpolation in the sense of accuracy is slightly better than the performance of local radial basis function however computational cost is less than the computational cost of barycent rational interpolations.
46
A localized transform-based meshless method for solving time fractional wave-diffusion equation
Marjan Uddin,Kamran,Amjad Ali +2 more
TL;DR: In this paper, a hybrid transform-based localized meshless method is constructed for the solution of fractional diffusion-wave equations and the time stepping procedure is avoided to overcome the problem of time in-stability related to meshless methods.
27
Local radial basis function collocation method for bending analyses of quasicrystal plates
TL;DR: In this article, the local radial basis function collocation method (LRBFCM) is proposed for plate bending analysis in orthorhombic quasicrystals (QCs) under static and transient dynamic loads.
16
On the Laplace-transformed-based local meshless method for fractional-order diffusion equation
TL;DR: In this paper, a local meshless method based on Laplace transform is proposed to estimate the solution of a time-fractional diffusion equation, which is capable of solving fractional differential equations in multidimensions with higher accuracy.
14
References
A family of embedded Runge-Kutta formulae
J. R. Dormand,P.J. Prince +1 more
TL;DR: In this article, a family of embedded Runge-Kutta formulae RK5 (4) are derived from these and a small principal truncation term in the fifth order and extended regions of absolute stability.
3.7K
Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
TL;DR: A new class of positive definite and compactly supported radial functions which consist of a univariate polynomial within their support is constructed, it is proved that they are of minimal degree and unique up to a constant factor.
3K
Multiquadric equations of topography and other irregular surfaces
TL;DR: In this paper, a method of representing irregular surfaces that involves the summation of equations of quadric surfaces having unknown coefficients is described, and procedures are given for solving multiquadric equations of topography that are based on coordinate data.
2.8K
A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics
Satya N. Atluri,T. Zhu +1 more
TL;DR: In this article, a local symmetric weak form (LSWF) for linear potential problems is developed, and a truly meshless method, based on the LSWF and the moving least squares approximation, is presented for solving potential problems with high accuracy.
2.5K
Multiquadrics--a scattered data approximation scheme with applications to computational fluid-dynamics-- ii solutions to parabolic, hyperbolic and elliptic partial differential equations
TL;DR: In this paper, the authors used MQ as the spatial approximation scheme for parabolic, hyperbolic and the elliptic Poisson's equation, and showed that MQ is not only exceptionally accurate, but is more efficient than finite difference schemes which require many more operations to achieve the same degree of accuracy.
2.1K