Question: 4. Local and Global Error: Prove that the implicit midpoint method, Yi+1 = yi +hf (ti+1/2, Yi11/2), h ti+1/2 = t; + h=ti-tin 2 is

4. Local and Global Error: Prove that the implicit midpoint method,

4. Local and Global Error: Prove that the implicit midpoint method, Yi+1 = yi +hf (ti+1/2, Yi11/2), h ti+1/2 = t; + h=ti-tin 2 is third order accurate for local error. State the global crror. 4. Local and Global Error: Prove that the implicit midpoint method, Yi+1 = yi +hf (ti+1/2, Yi11/2), h ti+1/2 = t; + h=ti-tin 2 is third order accurate for local error. State the global crror

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