Introduction to the Finite Element Method, Fourth Edition, McGraw-Hill, NY, 2019. An Introduction to the Finite Element Method, Third Edition, McGraw-Hill, NY, 2006. An Introduction to the Finite Element Method, Second Edition, McGraw-Hill, NY, 1993. Reddy, An Introduction to the Finite Element Method, McGraw-Hill, New York, 1984. Rasmussen, Advanced Engineering Analysis, John Wiley, New York, 1982 reprinted by Krieger, Melbourne, FL, 1990. Reddy, A Mathematical Theory of Finite Elements, John Wiley & Sons, New York, 1976. Reddy, Variational Methods in Theoretical Mechanics, Springer-Verlag, NY, 1976 Second Edition, 1982. Exam 2: 11:30AM-1:05PM, Wednesday, July 3 in classroom 209.Books (*asterisk denotes books with solution manuals). Solution to Exam 2 Version B (multiple choice). Solution to Exam 2 Version A (multiple choice). MATLAB file to plot the exact solution (in case we canįind the exact solution) and numerical solution. Polking and Joel Castellanos that draws the phase portrait for the autonomous equations.Īfter downloading, find the directory where you saved pplane.jar and double-click on the downloaded file. Please download the Java file by John C. That draws direction field of a given first order ODE.After downloading, find the directory where you saved dfield.jar and double-click on the downloaded file. That draws direction field of a given first order ODE. Please download the MATLAB file by John C. 
Using MATLAB ode45 to Solve differential equation numerically.System homogeneous system with repeated eigenvalues.Solving Differential Equations with Discontinous Terms Complete Notes.Solving Differential Equations with Laplace Transforms.Inverse of Laplace Transform Complete Notes.
Applications of the Second Order Differential Equation. Second Order Differential Equation IV: Non-Homogeneous-Variation of Parameters Method. Second Order Differential Equation III: Non-Homogeneous-Undetermined Coefficients Method. Second Order Differntial Equation II: Homogeneous. Second Order Differntial Equation I: Basci Concepts. Existence and Uniqueness of Differential Equations. Exact Differential Equations Complete Notes. Modeling with First Order Equations Notes with brief solution. First Order Linear Equations Complete Notes. Separable Equations(2.2) Complete Notes.
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