Browsing Matematik Bölümü by Subject "Finite Difference Formulation"

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A numerical algorithm based on modified extended B-spline functions for solving time-fractional diffusion wave equation involving reaction and damping terms

Khalid, Nauman; Abbas, Muhammad; Iqbal, Muhammad Kashif; Baleanu, Dumitru (Springer Open, 2019-09-03)

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 equation with reaction and damping terms. The ...
A numerical investigation of Caputo time fractional Allen-Cahn equation using redefined cubic B-spline functions

Khalid, Nauman; Abbas, Muhammad; Iqbal, Muhammad Kashif; Baleanu, Dumitru (2020-04-16)

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 equation (ACE). We discretize the time ...
Solving time fractional Burgers' and Fisher's equations using cubic B-spline approximation method

Majeed, Abdul; Kamran, Mohsin; Iqbal, Muhammad Kashif; Baleanu, Dumitru (2020-04-23)

This article presents a numerical algorithm for solving time fractional Burgers' and Fisher's equations using cubic B-spline finite element method. The L1 formula with Caputo derivative is used to discretized the time ...

Now showing items 1-3 of 3

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