Question

modified euler method adventage and disadvantage

Answer 1

Advantages: Euler's Method is simple and direct Can be used for nonlinear IVPsDisadvantages: it is less accurate and numerically unstable. Approximation error is proportional to the step size h. Hence, good approximation is obtained with a very small h.

Answer 2

Advantages

• Euler's Method is simple and direct.

• It Can be used for nonlinear IVPs.

Disadvantages

• It is less accurate and numerically unstable.
• Approximation error is proportional to the step size h.
• Hence, good approximation is obtained with a very small h.

Explanation:

         The scheme so obtained is called modified Euler's method. It works first by approximating a value to yi+1 and then improving it by making use of average slope.

               yi+1. = yi+ h/2 (y'i + y'i+1) = yi + h/2(f(xi, yi) + f(xi+1, yi+1))

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Modified euler method adventage and disadvantage

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