Scientific Research Publishing

Solving nth-Order Integro-Differential Equations Using the Combined Laplace Transform-Adomian Decomposition Method ()

In this paper, the Combined Laplace Transform-Adomian Decomposition Method is used to solve nth-order integro-differential equations. The results show that the method is very simple and effective. In ...
Scientific Research Publishing

Laplace Transform, Non-Constant Coefficients Differential Equations and Applications to Riccati Equation

In this paper, the Laplace Transform is used to find explicit solutions of a family of second order Differential Equations with non-constant coefficients. For some of these equations, it is possible ...
IEEE

Solution of piecewise- linear ordinary differential equations using waveform relaxation and Laplace transforms

Abstract: Piecewise-linear (PWL) functions are frequently used to describe the nonlinear branch equations of nonlinear devices in LSI circuits. New techniques for the solution of the differential ...
IEEE

9 Numerical Solution of Fractional-order One-dimensional Differential Equations by using a Laplace Transform with the Residual Power Series Method

Abstract: Real-world issues can be translated into the language and concepts of mathematics with the use of mathematical models. Models guided by differential equations with intuitive solutions can be ...
Europe PMC

Complete analytic solutions for convection-diffusion-reaction-source equations without using an inverse Laplace transform.

Transient mass-transfer phenomena occurring in natural and engineered systems consist of convection, diffusion, and reaction processes. The coupled phenomena can be described by using the unsteady ...
GitHub

Implementation-of-System-Block-Diagram-Using-Simulink

In this repository, we intend to implement block diagrams of various linear and nonlinear systems using Simulink in MATLAB. Part 1. Consider a series RLC circuit under the assumption of initial rest ...