Course Name: Mathematical Methods for Boundary Value Problems

Course abstract

This course is intended to provide methods to solve linear and nonlinear boundary value problems involving ordinary as well as partial differential equations. The course will start providing mathematical tools based on integral transformation, Fourier series solution and Greens function for obtaining analytic solutions for BVPs. The applicability of the BVP in several practical contexts, e.g. boundary layer flow, transport phenomena and population balance models will be made. Numerical solutions based on the shooting methods will be introduced. Finite difference methods for linear BVP of second-order and higher orders will be discussed. Iterative techniques to solve nonlinear BVP are included in this course. Algorithms for block tri-diagonal system to handle higher order and system of BVPs will be discussed. Computation of elliptic type of PDEs arises in diffusion dominated process will be described. All the methods will be illustrated by working out several examples. This course, apart from being a part of regular undergraduate/ postgraduate mathematics course, will provide a guidance to solve BVPs arise in mathematical modeling of several transport phenomena. Pre-requisite for this course should be the basic knowledge of undergraduate calculus.


Course Instructor

Media Object

Prof.Somnath Bhattacharyya

Prof. S. Bhattacharyya is a senior professor in the Dept. Mathematics, IIT Kharagpur. His specialization is Applied Mathematics. He is teaching courses on Integral Transform Techniques, Partial Differential Equations, Numerical solutions of PDEs and other related courses on a regular basis for the B.Tech students at IIT Khargpur for the past 26 years. His research works involve numerical solutions of PDEs and he has published more than 120 research papers in reputed international journals. He has undertaken several sponsored research projects and guided 15 PhD students. Prof. Bhattcahrayya has organized and delivered lectures in several Conferences, AICTE sponsored short term courses and GIAN courses on the topics related to Applied Mathematics. He has received several fellowships for research collaboration in USA, UK and Germany.
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Teaching Assistant(s)

NAREN BAG

P.hD

NAREN BAG

P.hD

 Course Duration : Jul-Aug 2019

  View Course

 Syllabus

 Enrollment : 15-May-2019 to 05-Aug-2019

 Exam registration : 01-Jun-2019 to 26-Aug-2019

 Exam Date : 29-Sep-2019, 29-Sep-2019

Enrolled

1996

Registered

175

Certificate Eligible

84

Certified Category Count

Gold

0

Silver

13

Elite

35

Successfully completed

36

Participation

60

Success

Elite

Silver

Gold





Legend

AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75 AND FINAL SCORE >=40
BASED ON THE FINAL SCORE, Certificate criteria will be as below:
>=90 - Elite + Gold
75-89 -Elite + Silver
>=60 - Elite
40-59 - Successfully Completed

Final Score Calculation Logic

  • Assignment Score = Average of best 6 out of 8 assignments.
  • Final Score(Score on Certificate)= 75% of Exam Score + 25% of Assignment Score
Mathematical Methods for Boundary Value Problems - Toppers list

AARTHY SUNDAR 88%

KCG COLLEGE OF TECHNOLOGY

CHANDRA GURU SEKAR R 87%

MEPCO SCHLENK ENGINEERING COLLEGE

AMAN DIXIT 86%

TOWER RESEARCH CAPITAL

MANDA VSSBBK SASTRY 86%

UNIVERSITY COLLEGE OF ENGINEERING KAKINADA, JNTUK KAKINADA

K.N.V. LAKSHMI 85%

LAKIREDDY BALI REDDY COLLEGE OF ENGINEERING

Enrollment Statistics

Total Enrollment: 1996

Registration Statistics

Total Registration : 175

Assignment Statistics




Assignment

Exam score

Final score

Score Distribution Graph - Legend

Assignment Score: Distribution of average scores garnered by students per assignment.
Exam Score : Distribution of the final exam score of students.
Final Score : Distribution of the combined score of assignments and final exam, based on the score logic.