Taylor series f(xi+1)=f(xi)+f'(xi)h+(f''(xi)/2!)h2+(f'''(xi)/3!)h3+..... given f''(xi)=(-f(xi+3)+4f(xi+2)-5f(xi+1)+2f(xi))/h2 what is the order of error o(h2)

Taylor series f(x_i+1)=f(x_i)+f'(x_i)h+(f''(x_i)/2!)h²+(f'''(x_i)/3!)h³+.....

given f''(x_i)=(-f(x_i+3)+4f(x_i+2)-5f(x_i+1)+2f(x_i))/h²

what is the order of error o(h²)

Expert Solution

Colby Messinger answered 1 year ago

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Question

Taylor series f(xi+1)=f(xi)+f'(xi)h+(f''(xi)/2!)h2+(f'''(xi)/3!)h3+..... given f''(xi)=(-f(xi+3)+4f(xi+2)-5f(xi+1)+2f(xi))/h2 what is the order of error o(h2)

Solutions

Expert Solution

Related Solutions

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Question

Taylor series f(xi+1)=f(xi)+f'(xi)h+(f''(xi)/2!)h2+(f'''(xi)/3!)h3+..... given f''(xi)=(-f(xi+3)+4f(xi+2)-5f(xi+1​)+2f(xi))/h2 what is the order of error o(h2)

Solutions

Expert Solution

Related Solutions

Taylor series f(xi+1)=f(xi)+f'(xi)h+(f''(xi)/2!)h2+(f'''(xi)/3!)h3+..... given f''(xi)=(-f(xi+3)+4f(xi+2)-5f(xi+1)+2f(xi))/h2 what is the order of error o(h2)