About MTH646 Assignment 1
MTH646 Assignment No 1 for Fall 2026 is from Partial Differential Equations. It covers lesson 9: Solving Heat Equation by Forward Difference Method-Example#2, carries 20 marks and is due on VULMS by 11:59 pm on Thursday 12 November 2026. You can request the solution from this page.
- Course
- MTH646 Partial Differential Equations
- Assignment
- Assignment No 1
- Semester
- Fall 2026
- Lesson
- 9: Solving Heat Equation by Forward Difference Method-Example#2
- Total marks
- 20
- End date
- Thu 12 Nov, 11:59 pm
What MTH646 Assignment 1 asks
This assignment covers concepts from the first nine lectures of the Partial Differential Equations course. It focuses on numerical methods, specifically Taylor series expansions and the discretization of the heat equation. Students are required to perform mathematical derivations and calculations based on provided formulas and boundary conditions.
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1
Question 1
Derive a first-order central difference approximation for a function. You must utilize the Taylor series expansions of the function at specific points to complete the derivation.
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2
Question 2
Calculate the approximate value of a function using the central difference formula derived previously. You are required to use the specific step size value of h = 0.1.
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3
Question 3
Given the exact solution for a one-dimensional heat equation, calculate the specific values of u(x, t) at defined coordinates. You must use the provided parameters for x and t to perform the evaluation.
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4
Question 4
Using a provided discretized form of the heat equation, apply the given boundary and initial conditions. After determining the general expression for u, calculate the specific values for u(1, 1) and u(2, 1).
- What to submit
- One Microsoft Word document containing all mathematical expressions created using the equation editor.
- Topics covered
- Partial differential equations Taylor series expansion Central difference approximation Heat equation Numerical discretization Boundary conditions
A summary of the assignment file, Fall 2026_MTH646_1.docx. Download the file for the full wording before you start.
Lesson covered
The questions in this assignment come from this lesson. Read it in the MTH646 handout before you open the assignment file, then practise it with the MCQs and past papers.
Solution
The solution has not been added yet. Request it from the download box and it will be added to this page, usually within a day.
Before you submit on VULMS
- 1 Start on the questions in the assignment file now. The solution will be added to this page once it is written.
- 2 Write the final answer in your own words. VU checks assignments for copying, and copied work gets zero marks.
- 3 Save your answer in the file type the assignment file asks for, and name it with your student ID, for example BC260012345.
- 4 Open the file once more to check it is not empty or corrupted, then upload it on VULMS before 11:59 pm on Thu 12 Nov.
Questions about this assignment
When is MTH646 Assignment 1 due?
Thursday 12 November 2026 at 11:59 pm. VULMS does not accept files after the deadline.
When will the solution be added?
Most solutions are up within a day of a request. Requests tell us which ones to write first, and 0 students have asked for this one so far.
Can I submit the solution as it is?
No. VU checks assignments for copying, and copied work gets zero marks. Use the solution to check your method, then write your own answer.
What file do I submit?
The assignment file says which file type to upload and lists any extra instructions from your instructor. Name the file with your student ID before you upload it on VULMS.