Differential Equations and Numerical Solutions Notes – Complete Information about the subject was mentioned here on this page for the scholars. And, the subject important topics, similar books, etc were mentioned below on this page. And, the (Indira Gandhi National Open University) IGNOU was providing the IGNOU M.Sc Books as well. This subject will come in the (Master of Science) M.Sc Year 1. Read the complete article to know more details about the Differential Equations and Numerical Solutions Notes.

## Differential Equations and Numerical Solutions Notes

Differential Equations and Numerical Solutions are used to find the solutions for the numerical approximations for ordinary differential equations. In Engineering, the numeric approximation solution is often sufficient.

Types of Numerical Solutions :

Secant Method – It was based on linear interpolation at the last two iterates

Fixed Point Iteration

Newton’s Method – Based on linear approximation around the current quadratic convergence

 Book Title Differential Equations and Numerical Solutions Course Master of Science (M.Sc) Year 1st Year Important Topics Ordinary Differential Equations Partial Differential Equations Numerical Solutions of Ordinary Differential Equations Numerical Solutions of Partial Differential Equations Similar Books Numerical Solutions of Differential Equations by Mahinder Kumar Jain Numerical Solutions of Partial Differential Equations by Kw Moton Numerical Solution of Partial Differential Equations by the Finite Element Method by Claes Johnson Numerical Solution of Partial Differential Equations: Finite Difference Methods by G.D. Smith Numerical Solutions of Differential Equations: Introduction to Finite Difference and Finite Elements Methods by Zhilin Li Partial Differential Equations with Numerical Solutions by Nagendra Kumar Edition 2021 Language English Available in eBook, PDF format

Candidates who have to refer to this Differential Equations and Numerical Solutions Notes

• M.Sc Semester 1
• B.tech (1st Year all Branches)

## Important Topics of Differential Equations and Numerical Solutions Subject

This Differential equation and Numerical Solutions subject have totally four subject. And, those four topics download links were also mentioned in the table format below.

• Ordinary Differential Equations
• Partial Differential Equations
• Numerical Solutions of Ordinary Differential Equations
• Numerical Solutions of Partial Differential Equations

## Unit Wise Titles

The below list is the unit wise titles of the Differential Equations and Numerical
Solutions subject. And, above are the important topics of the subject.

Ordinary Differential Equations

• First and Higher-Order Equations
• Power Series Solutions
• Legendre, Hermite and Laguerre Polynomials
• Bessel Functions
• Green’s Function Method

Partial Differential Equations

• Laplace Transform Method
• Fourier Transform Method

Numerical Solutions of Ordinary Differential Equations

• Single-step Methods for Solving Initial Value Problems
• Multistep and Predictor-Corrector Methods for Solving Initial Value Problems
• Second-Order Boundary Value Problems

Numerical Solutions of Partial Differential Equations

• Finite Difference Methods
• Finite Elements Methods

## Differential Equations and Numerical Solutions Subject Related Books

The below list which was mentioned below is the related study materials for the Differential Equations and Numerical Solutions Subject. And, also we have been mentioned the author names also along with the book title which was an easier way to identify. Below is a list of books.

• Numerical Solutions of Differential Equations by Mahinder Kumar Jain
• Numerical Solutions of Partial Differential Equations by Kw Moton
• Numerical Solution of Partial Differential Equations by the Finite Element Method by Claes Johnson
• Numerical Solution of Partial Differential Equations: Finite Difference Methods by G.D. Smith
• Numerical Solutions of Differential Equations: Introduction to Finite Difference and Finite Elements Methods by Zhilin Li
• Partial Differential Equations with Numerical Solutions by Nagendra Kumar
• Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods by Sandip Mazumder

## Purchase through Amazon.in

IGNOU M.Sc books were mentioned below for the scholars. So, these lists which were mentioned below are available on the amazon sites for the students to purchase.

• Numerical Solutions of Differential Equations by Mahinder Kumar Jain
• Numerical Solutions of Partial Differential Equations by Kw Moton
• Numerical Solution of Partial Differential Equations by the Finite Element Method by Claes Johnson
• Numerical Solution of Partial Differential Equations: Finite Difference Methods by G.D. Smith
• Numerical Solutions of Differential Equations: Introduction to Finite Difference and Finite Elements Methods by Zhilin Li
• Partial Differential Equations with Numerical Solutions by Nagendra Kumar

M.Sc Candidates can make a bookmark this Differential Equations and Numerical Solutions Notes PDF article. So, for any further doubts ask us through the comments. So, we can clear all those doubts.