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numerical solution of PDE

i want you to solve this assignment. this consist of two parts theoretical and coding. the code has to be created by you. no modified or copying code. you have to mention the exact solution and the proportion error. also you have to explain the sketch that you get from the code. these information are very important

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    this assignment contains two parts theoretical and coding the code has to be a new. old code and modified code will appear in the university website .

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