Several studies have presented compact fourth order accurate finite difference
approximation for the Helmholtz equation in two or three dimensions. Several of these …

Based on collocation with Haar and Legendre wavelets, two efficient and new numerical
methods are being proposed for the numerical solution of elliptic partial differential …

A new collocation method based on Haar wavelet is presented for numerical solution of
three-dimensional elliptic partial differential equations with Dirichlet boundary conditions. An …

The method of difference potentials was originally proposed by Ryaben'kii and can be
interpreted as a generalized discrete version of the method of Calderon's operators in the …

We consider fourth order accurate compact schemes, in both space and time, for the second
order wave equation with a variable speed of sound. We demonstrate that usually this is …

Nine point sixth order compact numerical approximations are suggested to solve 2D
nonlinear elliptic partial differential equations (NLEPDEs) and for the estimation of normal …

Numerical simulation of the acoustic wave equation in either isotropic or anisotropic media
is crucial to seismic modeling, imaging and inversion. Actually, it represents the core …

In many problems, one wishes to solve the Helmholtz equation with variable coefficients
within the Laplacian-like term and use a high order accurate method (eg, fourth order …

In this paper, the symmetric radial basis function method is utilized for the numerical solution
of two-and three-dimensional elliptic PDEs. Numerical results are obtained by using a set of …

We construct a family of compact fourth order accurate finite difference schemes for the three
dimensional scalar wave (d'Alembert) equation with constant or variable propagation speed …