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How can you improve the accuracy of numerical solutions in MATLAB when solving differential equations?

hard📝 Application Q9 of 15
MATLAB - Numerical Methods

How can you improve the accuracy of numerical solutions in MATLAB when solving differential equations?

AUse random step sizes for better coverage.
BIncrease the step size to speed up computation.
CDecrease the step size in the solver options.
DAvoid using built-in solvers and write loops manually.
Step-by-Step Solution
Solution:

  1. Step 1: Understand step size effect

    Smaller step sizes give more points, improving solution accuracy.

  2. Step 2: Adjust solver options

    MATLAB solvers allow setting step size or tolerances to control accuracy.

  3. Final Answer:

    Decrease the step size in the solver options. -> Option C

  4. Quick Check:

    Smaller step size = higher accuracy [OK]
Quick Trick: Smaller step size improves numerical accuracy [OK]
Common Mistakes:
  • Increasing step size reduces accuracy
  • Using random step sizes causes instability
  • Avoiding built-in solvers wastes effort

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