Results 11 to 20 of about 115,635 (232)

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

open access: yesResults in Physics, 2020
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 ...
Dimple Rani, Vinod Mishra
doaj   +3 more sources

ANALYTIC SOLUTION TO BENJAMIN-BONA-MAHONY EQUATION BY USING LAPLACE ADOMIAN DECOMPOSITION METHOD [PDF]

open access: yesMatrix Science Mathematic, 2019
In this paper, we want to find the analytic solution of Benjamin-Bona-Mahony (BBM) equation by using Laplace Adomian Decomposition Method. Laplace Adomian Decomposition Method is an excellent mathematical tool for solving linear and nonlinear ...
Muhammmad Ikram   +2 more
doaj   +1 more source

RBF-Based Local Meshless Method for Fractional Diffusion Equations

open access: yesFractal and Fractional, 2023
The fractional diffusion equation is one of the important recent models that can efficiently characterize various complex diffusion processes, such as in inhomogeneous or heterogeneous media or in porous media.
Kamran   +5 more
doaj   +1 more source

Solutions of Three Dimensional Nonlinear Klein-Gordon Equations by Using Quadruple Laplace Transform

open access: yesInternational Journal of Differential Equations, 2022
This study focuses on solving three-dimensional non-linear Klein-Gordon equations of four variables by using the quadruple Laplace transform method coupled with the iterative method.
Wubshet Ibrahim, Mesele Tamiru
doaj   +1 more source

An Approximate Solution of the Time-Fractional Two-Mode Coupled Burgers Equation

open access: yesFractal and Fractional, 2021
In this paper, we consider the time-fractional two-mode coupled Burgers equation with the Caputo fractional derivative. A modified homotopy perturbation method coupled with Laplace transform (He-Laplace method) is applied to find its approximate ...
Rachana Shokhanda   +3 more
doaj   +1 more source

Analysis for pressure transient of coalbed methane reservoir based on Laplace transform finite difference method

open access: yesPetroleum, 2015
Based on fractal geometry, fractal medium of coalbed methane mathematical model is established by Langmuir isotherm adsorption formula, Fick's diffusion law, Laplace transform formula, considering the well bore storage effect and skin effect. The Laplace
Lei Wang   +4 more
doaj   +1 more source

Generalized Post-Widder inversion formula with application to statistics [PDF]

open access: yes, 2015
In this work we derive an inversion formula for the Laplace transform of a density observed on a curve in the complex domain, which generalizes the well known Post-Widder formula.
Belomestny, Denis   +2 more
core   +3 more sources

Solutions of (2+1)-D & (3+1)-D Burgers Equations by New Laplace Variational Iteration Technique

open access: yesAxioms, 2023
The new Laplace variational iterative method is used in this research for solving the (2+1)-D and (3+1)-D Burgers equations. This technique relies on the modified variational iteration method and the Laplace transform.
Gurpreet Singh   +4 more
doaj   +1 more source

Tail bounds for all eigenvalues of a sum of random matrices [PDF]

open access: yes, 2011
This work introduces the minimax Laplace transform method, a modification of the cumulant-based matrix Laplace transform method developed in "User-friendly tail bounds for sums of random matrices" (arXiv:1004.4389v6) that yields both upper and lower ...
Gittens, Alex, Tropp, Joel A.
core   +3 more sources

Numerical Approximation of Fractional-Order Volterra Integrodifferential Equation

open access: yesJournal of Function Spaces, 2020
Laplace transform is a powerful tool for solving differential and integrodifferential equations in engineering sciences. The use of Laplace transform for the solution of differential or integrodifferential equations sometimes leads to the solutions in ...
Xiaoli Qiang   +3 more
doaj   +1 more source

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