Numerical treatment of time-fractional Klein–Gordon equation using redefined extended cubic B-spline functions
In this article we develop a numerical algorithm based on redefined extended cubic B-spline
functions to explore the approximate solution of the time-fractional Klein–Gordon equation …
functions to explore the approximate solution of the time-fractional Klein–Gordon equation …
Numerical solution of Generalized Burger–Huxley & Huxley's equation using Deep Galerkin neural network method
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) …
presented for the approximate solution of the generalized Burgers–Huxley equation (gBHE) …
An efficient spline technique for solving time-fractional integro-differential equations
Spline curves are very prominent in the mathematics due to their simple construction,
accuracy of assessment and ability to approximate complicated structures into interactive …
accuracy of assessment and ability to approximate complicated structures into interactive …
A numerical algorithm based on modified extended B-spline functions for solving time-fractional diffusion wave equation involving reaction and dam** terms
In this study, we have proposed an efficient numerical algorithm based on third degree
modified extended B-spline (EBS) functions for solving time-fractional diffusion wave …
modified extended B-spline (EBS) functions for solving time-fractional diffusion wave …
Addressing Volterra partial integro-differential equations through an innovative extended cubic B-spline collocation technique
This paper introduces a novel collocation scheme based on an extended cubic B-spline for
approximating the solution of a second-order partial integro-differential equation. The …
approximating the solution of a second-order partial integro-differential equation. The …
A high-order numerical method for solving nonlinear derivative-dependent singular boundary value problems using trigonometric B-spline basis function
In the present work, we have developed high-order computationally reliable numerical
method based on trigonometric quintic B-spline basis functions for solving a class of …
method based on trigonometric quintic B-spline basis functions for solving a class of …
[HTML][HTML] A modified basis of cubic B-spline with free parameter for linear second order boundary value problems: Application to engineering problems
The traditional cubic B-spline method offers limited local control over the curve solution.
Adjusting the position of a control point affects the entire curve, making it challenging to …
Adjusting the position of a control point affects the entire curve, making it challenging to …
An efficient fourth-order convergent scheme based on half-step spline function for two-point mixed boundary value problems
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 …
point mixed boundary value problems. Mixed boundary value problems occur in various …
New cubic B-spline approximation for solving linear two-point boundary-value problems
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 …
two-point boundary value problems (BVPs). This method is based on cubic B-spline basis …
Approximating non linear higher order ODEs by a three point block algorithm
Differential equations are commonly used to model various types of real life applications.
The complexity of these models may often hinder the ability to acquire an analytical solution …
The complexity of these models may often hinder the ability to acquire an analytical solution …