Runge-Kutta Method — Study Resources & PYQs
Fourth-order Runge-Kutta method for solving first and second order differential equations.
- Estimated study time: 30 minutes
Study resources
- NPTEL Complex Analysis - IIT Guwahati (Article) — Current NPTEL Complex Analysis course covering limits, continuity, complex differentiation, Cauchy-Riemann equations, analytic functions, singularities and residue theory.
- NPTEL Engineering Mathematics II - IIT Kharagpur (Article) — NPTEL Engineering Mathematics II covering complex analysis and numerical analysis topics used in undergraduate engineering mathematics.
- GeeksforGeeks - Runge-Kutta 4th Order Method to Solve Differential Equation (Article) — Study resource for Runge-Kutta Method.
- GeeksforGeeks - Picard's Method for Solving Differential Equations (Article) — Study resource for Runge-Kutta Method.
Runge-Kutta Method previous year questions
- (a) Using Picard's method, solve $y' = -xy$ with $y(0) = 1$ upto third approximation. (b) Use the Runge - Kutta method of fourth order to find $y(1.2)$ with $h…
- Compute $y(0.2)$ and $y(0.4)$ by using Runge-Kutta method of 4th order for the initial value problem $$\frac{dy}{dx} = \frac{x^2 + y^2}{10}, \; y(0) = 1$$ taki…
- a) Using Runge-Kutta of $4^{\text{th}}$ order, compute $y(0.4)$, given that $\frac{dy}{dx} = \frac{y^2 - x^2}{y^2 + x^2}$, $y(0) = 1$ and $h = 0.2$. b) Find th…
Taught in these subjects
- Mathematics-III — BST8403 · Government College of Engineering and Technology, Jammu
- Numerical Methods & Transform Calculus — BST8301 · Government College of Engineering and Technology, Jammu