Question:
A multistep method used to solve differential equations is
A multistep method used to solve differential equations is
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Examples of numerical methods:
\[
\boxed{
\begin{aligned}
\text{Single-step} &:\ \text{Euler, Modified Euler, Runge-Kutta}
\text{Multi-step} &:\ \text{Adams-Bashforth, Adams-Moulton}
\end{aligned}
}
\]
Updated On: Jul 14, 2026
- Runge-Kutta \(4^{\text{th}}\) order differential method
- Euler's modified method
- Adams-Bashforth method
- Successive approximation method
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The Correct Option is C
Solution and Explanation
Step 1: Recall the classification of numerical methods.
Numerical methods for ordinary differential equations are classified as
• Single-step methods,
• Multi-step methods. Single-step methods compute the next value using only the current point. Multi-step methods use values from several previous points.
Step 2: Identify the multistep method. Among the given options, \[ \boxed{ \text{Adams-Bashforth method} } \] uses information from previous steps to predict the next solution. Hence, it is a multistep method. Therefore, \[ \boxed{(C)} \] is the correct answer.
• Single-step methods,
• Multi-step methods. Single-step methods compute the next value using only the current point. Multi-step methods use values from several previous points.
Step 2: Identify the multistep method. Among the given options, \[ \boxed{ \text{Adams-Bashforth method} } \] uses information from previous steps to predict the next solution. Hence, it is a multistep method. Therefore, \[ \boxed{(C)} \] is the correct answer.
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