In this paper, we present a computational method for solving 2D and 3D Poisson equations
and biharmonic equations which based on the use of Haar wavelets. The highest derivative …

Two-dimensional Haar wavelets are applied for solution of the partial differential equations
(PDEs). The proposed method is mathematically simple and fast. To demonstrate the …

When layers of van der Waals materials are deposited via exfoliation or viscoelastic
stamping, nanobubbles are sometimes created from aggregated trapped fluids. Though they …

The present work deals with the resolution of the Ginzburg–Landau envelope equation. It is
a nonlinear partial differential equation that requires a robust solver. Nowadays, Newton …

Strain engineering modifies the optical and electronic properties of atomically thin transition
metal dichalcogenides. Highly inhomogeneous strain distributions in two-dimensional …

A dynamic model based on classical plate theory is presented to investigate the vibration
behavior of a rotating blade at an arbitrary stagger angle and rotation speed. The Hamilton's …

In Matlab, it would be good to be able to solve a linear differential equation by typing u= L\f,
where f, u, and L are representations of the right-hand side, the solution, and the differential …

The spectral method (p-FEM) is used to solve the problem of a thin-walled structure
deformation, such as a stiffened panel. The problem of the continuous conjugation of the …

In solving semilinear initial boundary value problems with prescribed non-periodic boundary
conditions using implicit–explicit and implicit time stepping schemes, both the function and …

Automatic Chebyshev spectral collocation methods for Fredholm and Volterra integral and
integro-differential equations have been implemented as part of the chebfun software …