Get updates on Eligibility, Admission, Placements Fees Structure
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
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)
No. This curriculum is for postgraduates and undergraduates too.
No. The Numerical Methods: Finite Difference Approach program is an advanced one.
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.
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.
IIT Roorkee’s experienced faculty member, Professor Ameeya Kumar Nayak, delivers the Numerical Methods: Finite Difference Approach certification program.