Exponential B-spline collocation method for solving the generalized Newell-Whitehead-Segel equation
Imtiaz Wasim, Muhammad Abbas, Muhammad Kashif Iqbal, Afzaal Mubashir Hayat
Abstract
In this work, we present a collocation method based on exponential basis spline functions for solving generalized Newell-Whitehead-Segel equation. The time derivative is discretized by finite difference scheme and the exponential basis spline functions are employed to interpolate spatial derivatives. The convergence and stability of the proposed algorithm are established. Numerical results demonstrate the accuracy of the proposed method.
Topics & Concepts
Exponential functionCollocation (remote sensing)MathematicsApplied mathematicsB-splineComputer scienceMathematical analysisMachine learningMathematical Biology Tumor Growthadvanced mathematical theoriesFractional Differential Equations Solutions