Approximation of Caputo time-fractional diffusion equation using redefined cubic exponential B-spline collocation technique Article Swipe

View

Mohammad Tamsir , Neeraj Dhiman , Deependra Nigam , Anand Chauhan ·

YOU? · · 2021 · Open Access · · DOI: https://doi.org/10.3934/math.2021226

The purpose of this work is to find the numerical solution of the Caputo time-fractional diffusion equation using the modified cubic exponential B-spline (CExpB-spline) collocation technique. First, the CExpB-spline functions are modified and then used to discretize the space derivatives. Three numerical examples are considered for checking the efficiency and accuracy of the method. The obtained results are compared with those reported earlier showing that the present technique gives highly accurate results. Von Neumann stability is carried out which gives the guarantee that the technique is unconditionally stable. The rate of convergence is also obtained. Furthermore, this technique is efficient and requires less storage.

Related Topics To Compare & Contrast

Mathematics

Mathematical Analysis

Differential Equation

Bilinear Interpolation

Economy

Concepts

Discretization Mathematics Exponential function Collocation method Collocation (remote sensing) B-spline Applied mathematics Spline (mechanical) Mathematical analysis Thin plate spline Diffusion equation Spline interpolation Computer science Differential equation Physics Machine learning Economics Statistics Bilinear interpolation Thermodynamics Economy Service (business) Ordinary differential equation

Metadata

Type: article
Language: en
Landing Page: https://doi.org/10.3934/math.2021226
OA Status: gold
Cited By: 18
References: 42
Related Works: 10
OpenAlex ID: https://openalex.org/W3128088540

All OpenAlex metadata

Raw OpenAlex JSON

No additional metadata available.