"- Obvious problems occur when a pivot element is zero because the normalization step leads to division by zero.\n", "- Problems may also arise when the pivot element is close to, rather than exactly ...

For a square matrix ( A ), an eigenvalue ( \lambda ) and a corresponding eigenvector ( v ) are defined by the equation: [ Av = \lambda v ] The eigenvalue ( \lambda ) is a scalar that scales the ...

Abstract: LU factorization is a key approach for solving large, dense systems of linear equations. Partial row pivoting is commonly used to ensure numerical stability; however, the data movement ...

Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical ...

This study introduces a relatively new numerical technique for solving one-dimensional Fisher’s equation. The proposed numerical technique is a simple direct meshless method, which is based on the ...