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An algorithm is an effective method that can be expressed within a finite amount of space and time and in a well-defined formal language for calculating a function.
In the context you state (Newton's method, etc.) there is no essential difference between an algorithm and a method. Both are sets step-by-step instructions for solving a problem.n computer science an algorithm still is a step-by-step manner towards solving a problem-an implementation-agnostic set of steps. A method commonly refers to a chunk of code associated with a class or object that does some task-it can implement many algorithms potentially. share | improve this answer.