Partial Differential Equations and Numerical Methods
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Partial Differential Equations and Numerical Methods Syllabus — Unit-wise Content
The official GTU curriculum for Partial Differential Equations and Numerical Methods (subject code 3130107) as prescribed for Aero · Semester 3 divides the course into 5 units, covering 20 listed topics. The unit-wise breakdown below is read from the GTU syllabus document for this subject code, so you can check what the course actually covers before deciding which papers to attempt.
Download the official syllabus PDF (3130107)Unit 1 First order partial differential equations, solutions of first order linear and nonlinear
- Charpit’s Method 06 14%
Unit 2 Solution to homogeneous and nonhomogeneous linear partial differential equations
- second and higher order by complementary function and integral method
- Separation of variables method to simple problems in Cartesian coordinates
- second-order linear equations and their classification
- Initial and boundary conditions
- Modeling and solution of the Heat
- Wave and Laplace equations
Unit 3 Root finding
- False position Methods
- Newton – Raphson Methods
- Secant Methods and Successive Approximation Methods Solution of system of linear equations using Numerical Techniques Gauss Elimination
- Gauss – Seidel iterative methods
Unit 4 Interpolation Techniques
- Netwon’s forward Interpolation
- Newton’s backward Interpolation
- Lagrange’s interpolation methods
- Cubic spline interpolation
- Inverse interpolation
Unit 5 Numerical Integration
- Trapezoidal rule
- Simpson’s 1/3rd and 3/8th rule. 04 10% 07 Numerical Solution of Ordinary differential equations Solution of Initial value problems by Taylor’s series
- Picard’s methods of successive approximation
- Runge – Kutta Method of order 4. 09 Curve Fitting Least square curve fitting procedures for linear and nonlinear curves 04 10% Subject Code: 3130107 w.e.f
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