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Quick Facts

Medium Of Instructions	Mode Of Learning	Mode Of Delivery
English	Self Study	Video and Text Based

Course Overview

The Numerical Methods: Finite Difference Approach course by Swayam is an advanced learning program for postgraduates and undergraduates from Science and Engineering backgrounds. This short, four-week training teaches students about partial differential equations, their different classes, and their solution methods. Falling under the ‘‘Mathematics’ ’ purview, it is a core curriculum set at the PG-level.

The Numerical Methods: Finite Difference Approach certification syllabus also deals with the solution methods’ stability analysis and convergence. Since the curriculum covers this subject’s vital topics, it will allow candidates to solve numerous science and engineering problems once they finish every module. This training also has various applications in engineering sciences diverse fields. Thus, it is widely recognized by General Electric, TCS, ABB, Nuclear Industries, and similar companies.

What’s more, students seeking job opportunities in organizations such as those mentioned above can opt for the Numerical Methods: Finite Difference Approach certification for a significant boost. Paying the required fees and clearing its eligibility, they can obtain this e-verifiable certificate to show recruiters.

The Highlights

Core program in Mathematics
AICTE-approved
Four-week FDP training
Postgraduate-level online course
Free admission with an optional certification
Proctored evaluation for certificates (offline)
Diverse industry recognition
Four assessments
Term-end offline test
IIT Roorkee’s curated syllabus
References and books mentioned
E-verifiable accreditations

Programme Offerings

Short-term studying
IIT Roorkee’s syllabus and instructor
Digital certificates
E-verifiable accreditations
AICTE-approved curriculum
Free learning
Weekly Assignments

Courses and Certificate Fees

Fees Informations	Certificate Availability	Certificate Providing Authority
INR 1000	yes	IIT Roorkee

The Numerical Methods: Finite Difference Approach fees are non-applicable. This is a no-cost program that students can freely audit.
An optional Rs. 1,000 registration price is levied on candidates seeking the course certification.

Numerical Methods: Finite Difference Approach course fee structure

Program option	Payable Fees
Numerical Methods: Finite Difference Approach - course only	NA
Numerical Methods: Finite Difference Approach - with certification	Rs. 1,000

Eligibility Criteria

An introductory knowledge about numerical methods is sufficient for enrolling into the Numerical Methods: Finite Difference Approach program.

Certificate Qualifying Details

Furthermore, the Numerical Methods: Finite Difference Approach certification is optional, as it requires exam payment. Swayam mandates two criteria that aspirants must clear to obtain this certificate. Amongst the four weekly assignments, candidates must secure an average of 10 upon 25 markings (25% of the top three).

Students must also acquire 30 upon 75 or more (75% of the obtained marks on 100) in the offline proctored exam. Only after fulfilling these criteria students can get their Numerical Methods: Finite Difference Approach certificate. Without doing so, they can’t receive it even after obtaining the required total of 40/100 as their final marks.

What you will learn

Mathematical skill

The Numerical Methods: Finite Difference Approach certification syllabus’ completion will help students display their expertise in these concepts and their sub-topics:

Numerical methods
Partial differential equations (PDE)
Hyperbolic and parabolic equations
Elliptic equations

Who it is for

The Numerical Methods: Finite Difference Approach training is ideal for undergraduates studying in technical universities and colleges.

Admission Details

https://onlinecourses.nptel.ac.in/noc23_ma11/preview - Using this, you can view the Numerical Methods: Finite Difference Approach program.
Check all the course information and press ‘Sign-in/Register’ to log into your Swayam ID or enrol.
Either sign in through your existing Swayam credentials or your Google/Microsoft/Facebook details. If not, you can create your Swayam learning profile by entering the on-screen required information.
Verify your ID by hitting ‘send verification code.
You will get this code on your registered email. Enter it and click on ‘create’.
Your Swayam profile will be ready, and by using it, you can study the curriculum when it commences.

Application Details

The Numerical Methods: Finite Difference Approach certification course has no sign-up form per se. Instead, learners must start their Swayam account for the program. For this, they must enter their email, select a password and username, and verify the account.

The Syllabus

Introduction to Numerical methods
Initial and Boundary value problems
Numerical solution of ODE
Picard’s method,
Taylor’s series method
Euler’s method
Modified Euler’s method
Runge-Kutta method

Introduction of PDE
Classification of PDE: parabolic, elliptic and hyperbolic.
Boundary and initial conditions
Taylor series expansion
analysis of truncation error
Finite difference method: FD, BD & CD, Higher order approximation
Order of Approximation
Polynomial fitting
One-sided approximation

Parabolic equation in 2D
Explicit & Crank-Nicolson method
Alternating direction Implicit method (ADI)
Elliptic equations
Solution of Poisson equation with Example,Successive over Relaxation (SOR) method
Solution of Elliptic equation by using ADI method
Example

Hyperbolic equations
solution using Explicit method
Stability analysis of Explicit and Implicit scheme
Example
Characteristics of PDE
Solution of Hyperbolic equation by using methods of Characteristics
Hyperbolic equation of first order
Lax-Wendroff’s method
Wendroff’s method
stability analysis of method
Example

Evaluation process

Swayam will conduct the Numerical Methods: Finite Difference Approach certificate examination on a date mentioned online. Students must fill out the online registration form via the registration URL when it becomes available. Once done, they must pay its requisite fees to register successfully.

The online form will contain all the test details, including the allotted venues, timings, dates, etc. Candidates are mandated to attend the proctored test in-person, which will commence at designated centers through two sessions - afternoon and morning.

Instructors

IIT Roorkee Frequently Asked Questions (FAQ's)

1: Is this training only for undergraduates?

No. This curriculum is for postgraduates and undergraduates too.

2: Is this an elementary course?

No. The Numerical Methods: Finite Difference Approach program is an advanced one.

3: Which companies recognize this curriculum?

Since this training deals with the ‘Mathematics’ domain’s concepts, it’s vastly recognized by companies such as ABB, TCS, Intel, General Motors, General Electric, Nuclear Industries, etc.

4: How can I register for the certification test?

You can apply for it through the registration URL when Swayam opens it for exam sign-up. Once it’s available, you can fill up the online form, pay its fees, and attend the examination at the allotted center and timing.

5: Who teaches this program?

IIT Roorkee’s experienced faculty member, Professor Ameeya Kumar Nayak, delivers the Numerical Methods: Finite Difference Approach certification program.