Solution of Modified Equal Width Equation Using Quartic Trigonometric-Spline Method
Hamad Salih, L. N. M. Tawfiq
Abstract
Abstract Using a quartic trigonometric B-spline (QTB-S) scheme, the numerical solution is obtained for modified equal width equation (MEW eq.). The approach based on finite difference scheme with the help of Crank-Nicolson formulation. The finite difference scheme is used for time integration and QTB-S function for space integration. Performance and accuracy of the scheme is validated through testing two problems by using conserved laws and L ∞ and L 2 error norms.
Topics & Concepts
Quartic functionMathematicsTrigonometric functionsTrigonometryFinite differenceMathematical analysisScheme (mathematics)B-splineSpline (mechanical)Applied mathematicsNumerical integrationFinite difference methodInverse trigonometric functionsPure mathematicsGeometryPhysicsThermodynamicsDifferential Equations and Numerical MethodsNumerical methods for differential equationsAdvanced Numerical Methods in Computational Mathematics