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MSRIT Numerical and Mathematical Biology Sem 3
Unit 2 : Partial Differential Equations-II(Derivation of one dimensional heat and wave equations, Numerical solution of one dimensional heat and wave equations, Two dimensional Laplace equation, Poisson equation)
1. Introduction to Finite Element Method(Finite Element Method) Total View (5388)
 
Introduction, General Description of the Finite Element Method, List of Steps Involved in the Finite Element Method, Engineering Applications of Finite Element Method, Advantages of the Finite Element Method.
Title: Finite Element Method
Published on: 23/12/14
Author: Murigendrappa S M
Publisher: Interlinepublishing
Pages: 4
Price: Rs 0

2. Cauchy Problem(Mathematics) Total View (760)
 
In this unit, the reader studies about the Cauchy problem, principle of superposition. They also study the method of characteristics to solve semi-linear, quasilinear and non-linear PDEs.
Title: Math 1.5 Differential Equations
Published on: 08/01/14
Author: KSOU
Publisher: Karnataka State Open University
Pages: 14
Price: Rs 10.5

3. Situations giving rise to Partial Differential Equations(Mathematics) Total View (985)
 
A mass balance is an application of conservation of mass to the analysis of physical systems. By accounting for material entering and leaving a system, mass flows can be identified which might have been unknown or difficult to measure without this technique.
Title: Math 3.4 Mathematical Modeling
Published on: 21/10/13
Author: KSOU
Publisher: Karnataka State Open University
Pages: 17
Price: Rs 12.75

4. Introduction to PDE(Mathematics) Total View (758)
 
In this unit, the reader studies about introduction and formation of partial differential equation (PDE). They also study the classification of first order PDE and some basic definition pertaining to POE.
Title: Math 1.5 Differential Equations
Published on: 09/01/14
Author: KSOU
Publisher: Karnataka State Open University
Pages: 8
Price: Rs 6

5. Heat Transfer(Finite Element Method) Total View (4376)
 
Introduction, Heat Transfer, Basic Equations of Heat Transfer, Governing Differential Equation for Heat Transfer in Three-Dimensional Bodies, Finite Element Formulation for Heat Transfer Problems, One-Dimensional Heat Conduction with Convection.
Title: Finite Element Method
Published on: 23/12/14
Author: Murigendrappa S M
Publisher: Interlinepublishing
Pages: 36
Price: Rs 27

6. Complete Integrals of PDE(Mathematics) Total View (762)
 
In this unit, the reader studies various methods such as Charpit's method, Jacobi's method for finding the solution (Complete integral) of POE.
Title: Math 1.5 Differential Equations
Published on: 08/01/14
Author: KSOU
Publisher: Karnataka State Open University
Pages: 12
Price: Rs 9

7. Existence of Solutions of ODE(Mathematics) Total View (766)
 
In this unit, the reader will learn some basic definitions of ordinary differential equations. Also the reader will study the existence and uniqueness of solutions of initial value problem and a system of differential equations. In order to fully understand the proofs of these theorems, the reader must be familiar with certain concepts of real function theory.
Title: Math 1.5 Differential Equations
Published on: 08/01/14
Author: KSOU
Publisher: Karnataka State Open University
Pages: 8
Price: Rs 0

8. Mathematical Modelling for Convection Diffusion and Reaction Processes(Mathematics) Total View (970)
 
After studying this unit, students will be able to analyse about convection diffusion processes-Burger's equation which will cover Burger's equation and the plane wave solution, Cole-Hopf transformation and the exact solution of Burger's equation. They will also be able to explain asymptotic behavior of the exact solution of Burger's equation and Burger's initial and boundary value problem and exp ......
Title: Math 3.4 Mathematical Modeling
Published on: 21/10/13
Author: KSOU
Publisher: Karnataka State Open University
Pages: 32
Price: Rs 24

9. Partial Differential Equations(Mathematics III) Total View (304)
 
This chapter is a continuation of Chapter 4 of Part II. Here, we consider the method of solving one-dimensional wave equation, one-dimensional heat equation and two-dimensional Laplace equation by separation of variables. The D'Alembert's solution for one-dimensional wave equation is also included.
Title: Engineering Mathematics Part - III
Published on: 28/10/14
Author: Chandrasekharaiah D S (DSC)
Publisher: Prism Books Pvt Ltd
Pages: 62
Price: Rs 46.5

10. Numerical Methods - III(Mathematics III) Total View (290)
 
In Chapter 3, we obtained Fourier series solutions to one-dimensional heat equation, one-dimensional wave equation and two-dimensional Laplace equation. In this chapter we present some Numerical solutions to these equations.
Title: Engineering Mathematics Part - III
Published on: 14/07/14
Author: Chandrasekharaiah D S (DSC)
Publisher: Prism Books Pvt Ltd
Pages: 49
Price: Rs 36.75

11. Field Theory(Field Theory ) Total View (1116)
 
Solved Question Papers
Title: Harbinger - 3rd Sem, VTU, 2014, Electronics and Communication
Published on: 25/08/14
Author: Harbinger Series
Publisher: Sanguine Technical Publishers
Pages: 99
Price: Rs 74.25

12. Application of Partial Differential Equations(Mathematics) Total View (346)
 
We now study three linear homogeneous second order PDEs which are important in physical applications, the wave equation, the heat equation and Laplace's equation.
Title: Engineering Mathematics - III
Published on: 17/03/14
Author: Pandurangappa C
Publisher: Sanguine Technical Publishers
Pages: 50
Price: Rs 37.5

13. Fundamentals of Finite Element Method(Finite Element Method) Total View (5311)
 
Introduction, Governing Differential Equation Formulation, Finite Element Formulation for Static Problems, Mathematical Model, Discretization, Elements, Nodal Degree of Freedom, Coordinate Systems, Generalized Coordinate Finite Element Models, Shape Function, Assemblage Of Element Matrices And Vectors, Structural Symmetry And Anti-Symmetry.
Title: Finite Element Method
Published on: 23/12/14
Author: Murigendrappa S M
Publisher: Interlinepublishing
Pages: 39
Price: Rs 29.25

14. Computational Algorithms for the Configuration Design (Aerodynamics Airworthiness)(Aeronautical Engineering) Total View (5252)
 
Introduction, Theoretical Algorithms, Computational Algorithms, Optimization of Computational Grids , Parallel Computational Computing.
Title: Aerodynamics Airworthiness
Published on: 01/07/13
Author: Gupta S C
Publisher: Interlinepublishing
Pages: 28
Price: Rs 21

15. Computational Algorithms for the Configuration Design (Aerodynamics Airworthiness)(Aeronautical Engineering) Total View (5)
 
• Introduction • Theoretical Algorithms • Computational Algorithms, Optimization of Computational Grids • Parallel Computational Computing
Title: Aerodynamics Airworthiness
Published on: 28/10/14
Author: Gupta S C
Publisher: Interlinepublishing
Pages: 28
Price: Rs 21

16. Variational Principles Probability Generating Function and Model For Traffic Flow(Mathematics) Total View (965)
 
A variational principle is a scientific principle used within the calculus of variations, which develops general methods for finding functions which minimize or maximize the value of quantities that depend upon those functions.
Title: Math 3.4 Mathematical Modeling
Published on: 21/10/13
Author: KSOU
Publisher: Karnataka State Open University
Pages: 19
Price: Rs 14.25

17. Classification of Second Order PDE(Mathematics) Total View (764)
 
In this unit the reader studies classification of second order partial differential equation. They also study the method of characteristics and classify the given second order POE to its respective canonical form.
Title: Math 1.5 Differential Equations
Published on: 08/01/14
Author: KSOU
Publisher: Karnataka State Open University
Pages: 11
Price: Rs 8.25

18. RandomProcesses(Applied Mathematics) Total View (509)
 
Now we are going to study about a family of random variables. A family of random variables indexed by a parameter (like time,) is known as a stochastic process or a random process. We know that the r.v. X, is by definition, a function of the possible outcomes S, of an experiment. Now a random process is a function of both time and S. When time t is fixed, the random process represents the random v ......
Title: Statistics Random Processes and Queuing Theory
Published on: 27/05/15
Author: Praba B
Publisher: Scitech Publications India Pvt Ltd
Pages: 88
Price: Rs 39.6

19. Contents(Electronics and Communication) Total View (1)
 

Title: Signals and Stochastic Process
Published on: 23/01/19
Author:
Publisher:
Pages: 22
Price: Rs 0

20. Microwave Transmission Lines(Microwave Engineering) Total View (407)
 
Compare the solution of (8.4) with that of (8.6). It is found that the general solution of the former equation contains an exponentially increasing function and an exponentially decreasing function. Depending on the boundary conditions available, we can determine which of the two components will be the real solution. In a similar fashion, it is found that the general solution of (8.6) contains two ......
Title: Microwave Engineering
Published on: 25/03/14
Author: Somanathan Nair B
Publisher: Sanguine Technical Publishers
Pages: 68
Price: Rs 51

21. Numerical Differentiation(Physics) Total View (184)
 
The method of finding derivatives analytically are well established when the functional relation between the dependent variable y and the independent variable x is known. However, in many practical situations like that of experimental data generated, the explicit relation between the dependent and independent variables is unknown
Title: Concise Physics BSc VI Semester Volume 8 (603)
Published on: 08/09/14
Author: Sarmistha Sahu
Publisher: Subhas Stores
Pages: 18
Price: Rs 13.5

22. Poisson Distribution(Quantitative Techniques) Total View (230)
 
Poisson distribution is considered as a limiting case of binomial distribution. Poisson distribution derived by 'French mathematician Simon D. Poisson' in 1837. This distribution is a discrete probability function. Interestingly herewith the large number of experiments conducted, the probability of success would be very small.
Title: MB105 Quantitative Techniques
Published on: 26/03/14
Author: KSOU
Publisher: Karnataka State Open University
Pages: 8
Price: Rs 6

23. Contents(Mathematics II) Total View (8)
 
This comprehensive and assimilable text introduces to the students the Mathematical concepts such as Matrices, Vector Calculus, Analytic Functions, Complex Integration and Laplace Transforms. The simple and systematic presentation will enable the students to grasp the concepts easily.
Title: Engineering Mathematics II
Published on: 09/02/19
Author:
Publisher:
Pages: 10
Price: Rs 0

24. Quantum Mechanics(Engineering Physics ) Total View (0)
 
All bodies absorb and emit radiation to different extents. The radiation spectrum of a black body is of important concern. This study is to understand the mechanism of absorption and emission of radiation.
Title: ENGINEERING PHYSICS
Published on: 11/04/19
Author:
Publisher:
Pages: 8
Price: Rs 4

25. Setting up of First Order Differential Equations and their Solutions(Mathematics) Total View (925)
 
Differential equations occur quite frequently in our daily life. The motion of an object can always be associated with a differential equation. The change in prices of commodities, the flow of fluids, the concentration of chemicals etc., often lead to differential equations. Such equations may depend on one or more independent variables. Further, it may include the derivatives of the first or high ......
Title: Math 3.4 Mathematical Modeling
Published on: 30/08/13
Author: KSOU
Publisher: Karnataka State Open University
Pages: 21
Price: Rs 15.75



 
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