Regulation 2021 Anna University Code – MA3356 deals with the semester – III Differential Equations Syllabus of B.Tech Chemical Engineering. Most of the semester syllabus tries to give both practical and theoretical knowledge to the students. To acquire the proper knowledge regarding the studies to prepare for the examination, need a detailed syllabus right?
This article will assist you in gaining most of the syllabus details. We tried our best to provide the required syllabus info. Chapter-wise syllabus along with reference books written by experts and textbooks added. Hence in this article MA3356 – Differential Equations syllabus, we include all the details regarding the examination. Students can easily get all the data regarding the syllabus on one page. Hope you will understand the syllabus. And All the best for your exams. Don’t forget to share it with your friends.
If you want to know more about the syllabus of B.Tech Chemical Engineering connected to an affiliated institution’s four-year undergraduate degree program. We provide you with a detailed Year-wise, semester-wise, and Subject-wise syllabus in the following link B.Tech Chemical Engineering Syllabus Anna University Regulation 2021.
Aim Of Objectives :
- To acquaint the students with Differential Equations which are significantly used in engineering problems
- To introduce the basic concepts of PDE for solving standard partial differential equations.
- To acquaint the knowledge of various techniques and methods of solving ordinary differential equations.
- To understand the knowledge of various techniques and methods of solving various types of partial differential equations.
- To understand the finite methods for time-dependent partial differential equations.
MA3356 – Differential Equations Syllabus
Unit I: Ordinary Differential Equations
Higher order linear differential equations with constant coefficients – Particular integrals: Operator methods, Method of variation of parameters, Methods of undetermined coefficients– Cauchy’s and Legendre’s linear equations – Simultaneous first order linear equations with constant coefficients.
Unit II: Partial Differential Equations
Formation of partial differential equations – Singular integrals – Solutions of standard types of first order partial differential equations – Lagrange’s linear equation – Linear partial differential equations of second and higher order with constant coefficients of both homogeneous and non-homogeneous types.
Unit III: Numerical Methods For Ordinary Differential Equations
Explicit Adams-Bashforth Techniques, Implicit Adams-Moulton Techniques, Predictor-Corrector Techniques, Finite difference methods for solving two-point linear boundary value problems, Orthogonal Collocation method.
Unit IV: Finite Difference Methods For Elliptic Equations
Laplace and Poisson’s equations in a rectangular region: Five-point finite difference schemes, Leibmann’s iterative methods, Dirichlet and Neumann conditions – Laplace equation in polar coordinates: finite difference schemes.
Unit V: Finite Difference Method For Time Dependent Partial Differential Equation
Parabolic equations: explicit and implicit finite difference methods, weighted average approximation – Dirichlet and Neumann conditions – First order hyperbolic equations – method of characteristics, different explicit and implicit methods; Wave equation: Explicit scheme- Stability of above schemes.
Text Books:
- Grewal. B.S, “Higher Engineering Mathematics”, 44th Edition, Khanna Publications, New Delhi, 2018.
- Gupta S.K., “Numerical Methods for Engineers” (Third Edition), New Age Publishers, New Delhi, 2015.
- M K Jain, S R K Iyengar, R K Jain, “Computational Methods for Partial Differential Equations”, New Age Publishers, New Delhi, 1994.
References :
- Glyn James, “Advanced Modern Engineering Mathematics”, 3rd Edition, Pearson Education, 2012.
- Peter V. O’Neil,” Advanced Engineering Mathematics”, 7th Edition, Cengage learning, 2012.
- Saumyen Guha and Rajesh Srivastava, “Numerical methods for Engineering and Science”, Oxford Higher Education, New Delhi, 2010.
- Burden, R.L., and Faires, J.D., “Numerical Analysis – Theory and Applications”, Cengage Learning, India Edition, New Delhi, 2009. Publishers,1993.
- Morton K.W. and Mayers D.F., “Numerical solution of partial differential equations”, Cambridge University press, Cambridge, 2002.
Related Posts On Semester – III:
- CH3301 – Basic Mechanical Engineering
- CH3302 – Mechanics of Solids
- CH3351 – Chemical Process Calculations
- CH3352 – Fluid Mechanics for Chemical Engineers
- CH3303 – Chemical Process Industries