Solution of ordinary differential equations and Volterra integral equation of first and second kind with bulge and logarithmic functions using Laplace transform

被引：0

作者：

Bilqees, Naila ^{[1
]}

Aslam, Adnan ^{[2
]}

Ahmed, Zulfiqar ^{[3
]}

Perveen, Zahida ^{[1
]}

机构：

[1] Lahore Garrison Univ, DHA, Dept Math, Phase 6, Lahore, Pakistan

[2] Natl Univ Sci & Technol, Dept Basic Sci, Islamabad, Pakistan

[3] GIFT Univ, Dept Comp Sci, Gujranwala, Pakistan

来源：

INTERNATIONAL JOURNAL OF ADVANCED AND APPLIED SCIENCES | 2018年 / 5卷 / 09期

关键词：

Ordinary differential equations; Volterra integral equations; Laplace transform; Taylor series expansion;

D O I：

10.21833/ijaas.2018.09.012

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A large class of complications of mathematical physics, applied mathematics and engineering are formulated in the form of differential equations, beside with few additional conditions. This paper comprises of an ordinary differential equation (O.D.E) and Volterra Integral equation (V.I.E) with bulge and logarithmic functions. We will use Laplace transform, Inverse Laplace transform and convolution theorem where it will be needed to find the precise solution of O.D.Es and V.I.Es. Also, we will compare it with the numerical solution using Euler's method and Simpson's quadrature rule and lastly we will represent it with the help of graph. (C) 2018 The Authors. Published by IASE.

引用

页码：82 / 87

页数：6