Hermite wavelets approach for the multi-term fractional differential equations
S. Kumbinarasaiah
Abstract
In this article, we propose a novel technique called the Hermite wavelets collocation method (HWCM) and fractional derivatives of functions to solve multi-term fractional differential equations (MTFDEs) and convergence analysis is discussed in terms of theorems. This technique converts the multi-term fractional differential equations into the system of algebraic equations through collocation points, and obtained results are compared with other existing methods to check the efficiency of the present method.
Topics & Concepts
Hermite polynomialsMathematicsCollocation methodTerm (time)Collocation (remote sensing)Orthogonal collocationWaveletFractional calculusConvergence (economics)Applied mathematicsDifferential equationAlgebraic equationMathematical analysisComputer scienceOrdinary differential equationNonlinear systemArtificial intelligenceQuantum mechanicsEconomic growthPhysicsEconomicsMachine learningFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsMathematical functions and polynomials