Wavelets approach for the solution of nonlinear variable delay differential equations
S. Kumbinarasaiah, R. A. Mundewadi
Abstract
Abstract In this study, the Laguerre wavelet-oriented numerical scheme for nonlinear first and second-order delay differential equations (DDEs) is offered. The proposed technique is dependent on the truncated series of the Laguerre wavelets approximation of an unknown function. Here, we transform the different ordered DDEs into a system of non-linear algebraic equations with the help of limit points of a sequence of collocation points. Four nonlinear illustrations are involved to prove the efficiency of the planned technique. the Obtained results are equated with the current results, indicating the proposed technique’s accuracy and efficiency.
Topics & Concepts
WaveletLaguerre polynomialsNonlinear systemMathematicsDelay differential equationApplied mathematicsCollocation (remote sensing)Algebraic equationSequence (biology)Mathematical analysisCollocation methodDifferential equationSeries (stratigraphy)Computer scienceOrdinary differential equationBiologyPaleontologyGeneticsPhysicsQuantum mechanicsMachine learningArtificial intelligenceFractional Differential Equations SolutionsDifferential Equations and Numerical MethodsNonlinear Waves and Solitons