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228.942  Articles
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In this paper, we presented a reliable modification of the Laplace Decomposition Method (LDM) for solving non linear singular second order initial value problems. The method is used to obtain the exact solutions of the nonlinear singular initial value pro... see more

Aim of the paper is to investigate applications of Laplace Adomian Decomposition Method (LADM) on nonlinear physical problems. Some coupled system of non-linear partial differential equations (NLPDEs) are considered and solved numerically using LADM. The ... see more

Riccati differential equations (RDEs) plays important role in the various fields of defence, physics, engineering, medical science, and mathematics. A new approach to find the numerical solution of a class of RDEs with quadratic nonlinearity is presented ... see more

ABSTRACT Context. In the queueing theory, the studies of G/G/1 systems are relevant because it is impossible to obtain solutions for the waiting time in the final form in the general case with arbitrary laws of distributions of the input flow and of the s... see more

Context. The study of G/G/1 systems is related to their relevance in the modern theory of teletraffic and, therefore, in the theory of computing systems and networks. In turn, this follows from the fact that it is impossible to obtain solutions for the wa... see more

Many mathematical physics models are contributed to give rise to of nonlinear integral equations. In this paper, we study the performance of two recently developed modifications of well known so called Adomian decomposition method applied using Laplace tr... see more

As an important part of power system planning and the basis of economic operation of power systems, the main work of power load forecasting is to predict the time distribution and spatial distribution of future power loads. The accuracy of load forecastin... see more

In this paper, we present a reliable combination of Aboodh Transform and Modified Homotopy perturbation method to solve nonlinear gas dynamic equations. Some problems were solved to demonstrate the capability and reliability of the mixture of Aboodh Trans... see more

In this work, we develop a formulation for the approximate-analytical solution of fractional partial differential equations (PDEs) by using conformable fractional derivative. Firstly, we redefine the conformable fractional Adomian decomposition method (CF... see more

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