Numerical inverse Laplace transform based on Bernoulli polynomials operational matrix for solving nonlinear differential equations

Numerical inverse Laplace transform based on Bernoulli polynomials operational matrix for solving nonlinear differential equations

A numerical inverse Laplace transform method is established using Bernoulli polynomials operational matrix of integration. The efficiency of the method is demonstrated through some standard nonlinear differential equations: Duffing equation, Van der Pol equation, Blasius equation and jerk equation....

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Bibliographic Details
Main Authors: Dimple Rani, Vinod Mishra
Format: Article
Language:English
Published: Elsevier 2020-03-01
Series:Results in Physics
Subjects:
Laplace transform
Bernoulli polynomials
Operational matrices
Numerical inverse Laplace transform
Adomian decomposition method
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379719327378

Internet

http://www.sciencedirect.com/science/article/pii/S2211379719327378

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