New Numerical Scheme with Newton Polynomial: Theory, Methods, and Applications
provides a detailed discussion on the underpinnings of the theory, methods and real-world …

We present a collocation approach based on redefined cubic B-spline (RCBS) functions and
finite difference formulation to study the approximate solution of time fractional Allen–Cahn …

In this paper, a deep learning algorithm based on Deep Galerkin method (DGM) is
presented for the approximate solution of the generalized Burgers–Huxley equation (gBHE) …

Детально рассмотрен вопрос интерполяции любой навигационной изолинии
кубическим сплайном лагранжева типа. Разработанный подход представляет …

The issue of any navigational isoline interpolation by cubic spline of Lagrange type has
been considered in detail. The developed approach is of independent practical interest; …

In this study, we have explored the approximate solution of 2nd order singular boundary
value problems (SBVP's) using extended cubic B-spline (ECBS) collocation approach. The …

In this work, we have proposed a new quartic Bspline (QBS) approximation technique for
numerical treatment of fourth order singular boundary value problems. The typical QBS …

This article delves the approximate solution for third order singular boundary value problems
using quartic B-spline collocation method furnished with a new approximation for third order …

The present work aims to introduce a novel numerical method for solving second-order two-
point mixed boundary value problems. Mixed boundary value problems occur in various …

In this study, we introduce a new cubic B-spline (CBS) approximation method to solve linear
two-point boundary value problems (BVPs). This method is based on cubic B-spline basis …