Error analysis. Solution of non-linear algebraic equations. Numerical integration. Numerical solution of ordinary differential equations (ODEs) for the initial value problem. Solution of systems of ODEs. The stiff ODEs. The solution of the boundary value problem using the linear shooting, finite difference, and non-linear shooting methods. Applications to Mechanical, hydraulic, and thermal system design. The finite difference approximation. Numerical solution of partial differential equations (PDEs) using the finite difference method. Applications on elliptic, parabolic, and hyperbolic PDEs. Direct and iterative methods of solution. Solution of PDEs using the finite volume method. Solution of PDEs using the finite element method. Applications to problems in fluid mechanics, steady and transient conduction heat transfer, elastic deformation of solid elements, and stress analysis. Case studies using the MATLAB programming and available software and modules.
Master of Engineering (MEng) Program
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| content serial | Description |
|---|---|
| 1 | Error analysis. |
| 2 | Solution of non-linear algebraic equations. |
| 3 | Numerical integration. |
| 4 | Numerical solution of ordinary differential equations (odes) for the initial value problem. Solution of the system of odes.rnrn |
| 5 | Solution of the system of odes. |
| 6 | The stiff odes. |
| 7 | The solution of the value boundary problem using the linear shooting, finite difference, and non-linear shooting methods / 7th week evaluation. |
| 8 | Applications to mechanical, hydraulic, and thermal system design. |
| 9 | The finite difference approximation. |
| 10 | Numerical solution of partial differential equation (PDEs) using finite difference method. |
| 11 | Application on elliptic, parabolic, and hyperbolic PDEs. |
| 12 | Direct and iterative methods of solution / 12th week evaluation |
| 13 | Solution of PDEs using the finite volume method. Solution of PDEs using the finite element method. |
| 14 | Applications to problem in fluid mechanics, steady and transient conduction heat transfer, elastic deformation of solid element, and stress analysis. |
| 15 | Case study using MATLAB programming and available software and modules. |
| 16 | Final exam. |
| 1 | Error analysis. |
| 2 | Solution of non-linear algebraic equations. |
| 3 | Numerical integration. |
| 4 | Numerical solution of ordinary differential equations (odes) for the initial value problem. Solution of the system of odes.rnrn |
| 5 | Solution of the system of odes. |
| 6 | The stiff odes. |
| 7 | The solution of the value boundary problem using the linear shooting, finite difference, and non-linear shooting methods / 7th week evaluation. |
| 8 | Applications to mechanical, hydraulic, and thermal system design. |
| 9 | The finite difference approximation. |
| 10 | Numerical solution of partial differential equation (PDEs) using finite difference method. |
| 11 | Application on elliptic, parabolic, and hyperbolic PDEs. |
| 12 | Direct and iterative methods of solution / 12th week evaluation |
| 13 | Solution of PDEs using the finite volume method. Solution of PDEs using the finite element method. |
| 14 | Applications to problem in fluid mechanics, steady and transient conduction heat transfer, elastic deformation of solid element, and stress analysis. |
| 15 | Case study using MATLAB programming and available software and modules. |
| 16 | Final exam. |
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