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NUR AFIFAH SYAHIRAH BINTI SAIFUL BAHRI

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Nur Farah Alia binti Zahrullail

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1. Nur Husna Amierah binti Mohd Zaperi
2. Nabilla Huda binti hairulnizam
3. Che Engku Nur Syafiyyah binti Che Engku Dalam
4. Maryam Abidah Hanim binti Mohd Hazni

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Nurul Anis Suraya binti Rosmahadi

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1) Muhammad Badrul Amin Ayop
2) Nabil Asyraf  Bin Aidi Rosman
3) Muhammad Naqiuddin Heiqal Irfan
4) Aiman Hakim Bin Karim
5) Sivanes Chandran

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Azizah Batrisyia binti Abdul Halim

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2. Nurhazira Binti Hamzah
3. Nurjannatul Najwa Binti Harun
4. Nurin Hidayah Binti Mazlan
5. Nursyafiqah Nabilah Binti Tamrin

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Siti Hajar Bt Rahimi

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1. Farah Hanis binti Baharum
2. Farrah Qhairunniza binti Md Affandi
3. Nurul Hanisah binti Hasnan
4. Nurul Ain Najihah binti Norhisham

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1) FAZLIN BINTI ASNI
2) NUR A'INA FARAHAH BINTI CHE ABDULLAH
3) NURUL AISYAH BINTI MAZELAN
4) NUR ALIA ZAHRA BINTI OMAR SHARIF

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2. Nur Irdina binti Salim
3. Noor Hafizah binti Mohd Yusoof
4. Tharishini Raja
5. Nur Alya Aisyah binti Raslani

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Nur Najeeha Natasha binti Jefri

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Nabilah Farhana binti Nordin
Nurul Aiman Syamimi binti Norsham
Nurul Hadirah binti Mohd Halid
Siti Syaza binti Abd Shukor

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Muhammad Badrul Amin Ayop

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Nurul Ika Mirlia binti Zarimi
Salwa Alhana binti Mohd Sofian
Nurfarhaniza binti Ramlee
Nur Syaurah binti Daud

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Nurul Afrina binti Zanudin

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Sharifah Azira Nazrah Bt Wan Alwi
Nur Batrisyia Bt Affendi
Juwariah Bt Mohd Yusoff
Nor Farzana Bt Sharim Shah

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Nur Ezzati binti A.Malek

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Project 3

Find a third order ODE problem to present the physical problem with initial condition with h size of interval. Solve the problem using a second order Taylor method to find  the first 2 points of the solution domain. Compare the solution of  second order Taylor method to Euler method. Give comment based on the comparison of both methods in terms of absolute error and computational cost / time. Draw the graft of  solution  and develop the table of the calculation process.

How Geogebra helps  to validate your solution above? Can you show it?

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Project 5

Find a first order ODE problem to present the physical problem with initial condition with h size of interval and find initial solutions using Euler method. These initial solutions will use to obtain the first 3 points of the solution domain  using 3 steps predictor  method. Correct the solution of predictor method using  3 steps corrector method. Control the iteration of corrector method with convergent criterion. Give comments based on the comparison of both methods in terms of absolute error and computational cost between predictor and corrector method.  Draw the graft of  solution  and develop the table of the calculation process.

How Geogebra helps  to validate your solution above? Can you show it?

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Project 6

Find 3 equations of first order ODE problem to present the physical problem with initial condition with h size of interval. Solve the problem using the second  order Runge Kutta method to find  the first 2 points of the solution domain. Compare the solution of  second order Runge Kutta method to the Euler method. Give comments based on the comparison of both methods in terms of absolute error and computational cost / time.  Draw the graft of solution  and develop the table of the calculation process.

How Geogebra helps  to validate your solution above? Can you show it?

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Project 3

Find a third order ODE problem to present the physical problem with initial condition with h size of interval. Solve the problem using a second order Taylor method to find  the first 2 points of the solution domain. Compare the solution of  second order Taylor method to Euler method. Give comment based on the comparison of both methods in terms of absolute error and computational cost / time. Draw the graft of  solution  and develop the table of the calculation process.

How Geogebra helps  to validate your solution above? Can you show it?

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Project 4

Find a first order ODE problem to present the physical problem with initial condition with h size of interval.  Choose single step method and solve these IVP of ODE above. Compare the solution of single step method to multistep method. Describe the concept of explicit and implicit schemes of the both methods. Give comments based on the comparison of both methods in terms of absolute error and computational cost.  Draw the graft of  solution  and develop the table of the calculation process.

How Geogebra helps  to validate your solution above? Can you show it?

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Project 1

Find a second order ODE problem to present the physical problem with initial condition with h size of interval. Solve the problem using the third order Taylor method to find  the first 3 points of the solution domain. Compare the solution of  the third order Taylor method to Euler method. Give comment based on the comparison of both methods in terms of absolute error and computational cost / time. Draw the graft of solution  and develop the table of the calculation process.

How Geogebra helps  to validate your solution above? Can you show it?

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Project 6

Find 3 equations of first order ODE problem to present the physical problem with initial condition with h size of interval. Solve the problem using the second  order Runge Kutta method to find  the first 2 points of the solution domain. Compare the solution of  second order Runge Kutta method to the Euler method. Give comments based on the comparison of both methods in terms of absolute error and computational cost / time.  Draw the graft of solution  and develop the table of the calculation process.

How Geogebra helps  to validate your solution above? Can you show it?

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Project 4

Find a first order ODE problem to present the physical problem with initial condition with h size of interval.  Choose single step method and solve these IVP of ODE above. Compare the solution of single step method to multistep method. Describe the concept of explicit and implicit schemes of the both methods. Give comments based on the comparison of both methods in terms of absolute error and computational cost.  Draw the graft of  solution  and develop the table of the calculation process.

How Geogebra helps  to validate your solution above? Can you show it?

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Project 2

Find 2 equations of first order ODE problem to present the physical problem with initial condition with h size of interval. Solve the problem using the second  order Runge Kutta method to find  the first 3 points of the solution domain. Compare the solution of  second order Runge Kutta method to second order Taylor method. Give comments based on the comparison of both methods in terms of absolute error and computational cost / time.  Draw the graft of solution  and develop the table of the calculation process.

How Geogebra helps  to validate your solution above? Can you show it?

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Fazlin- find question on the internet and solve the problem by using Euler method
Nur Afifah Syahirah –find question on the internet and plot the graph in Geogebra to analyze and validate the solution
Nur A’ina Farahah – solve the problem by using second order Taylor series method to find the first 2 points of the solution domain.
Nur Aliazahra - Draw the graph of solution and develop the table of the calculation process
Nurul Aisyah - Compare the solution of second order Taylor method to Euler method and compute the absolute error

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Nur Syaurah binti Daud

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Nurul Ika Mirlia binti Zarimi
Salwa Alhana binti Mohd Sofian
Nurfarhaniza binti Ramlee
Azizah Batrisyia binti Abdul Halim

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Problem Solver:
Nur Ezzati
Farah Hanis
Farrah Qhairunniza

Proofreader:
Nurul Hanisah
Nurul Ain Najihah

Reporter&Editor:
Nur Ezzati