Bernstein collocation technique for a class of Sturm-Liouville problems

H Farzana, SK Bhowmik, MA Alim - Heliyon, 2024 - cell.com
Sturm-Liouville problems have yielded the biggest achievement in the spectral theory of
ordinary differential operators. Sturm-Liouville boundary value issues appear in many key …

[HTML][HTML] Orthonormal Bernstein Galerkin technique for computations of higher order eigenvalue problems

H Farzana, SK Bhowmik, MS Islam - MethodsX, 2023 - Elsevier
The numerical approximation of eigenvalues of higher even order boundary value problems
has sparked a lot of interest in recent years. However, it is always difficult to deal with higher …

Numerical study on single and multi-dimensional boundary value problems by the method of weighted residual

H Farzana, MA Alim - American Journal of Computational …, 2020 - archive.scholarstm.com
The Galerkin method of weighted residual (MWR) for computing natural frequencies of some
physical problems such as the Helmholtz equation and some second-order boundary value …