# Research Paper Runge Kutta Method In Excel

Cheong T H, Tay K G and Abdul-Kahar R 2016 Nonlinear Equation Graphical User Interface Solver using Excel VBA Programming *Journal of Telecommunication, Electronic and Computer Engineering***8** 59-63

Tay K G, Kek S L and Abdul-Kahar R 2009 Solving Non-Linear Systems by Newton’s Method Using Spreadsheet Excel *Proceeding of the 3rd International Conference on Science and Mathematics Education (CoSMED 2009)* 452-456

Kek S L and Tay K G 2008 Solver for System of Linear Equations *Proceeding of the National Symposium on Application of Science Mathematics 2008 (SKASM 2008)* 605-615

Kek S L and Tay K G 2009 Design of Spreadsheet Solver for Polynomial Interpolation *National Seminar on Scienceand Technology 2009 (PKPST 2009)* 69-73

Tay K G, Kek S L and Abdul-Kahar R 2010 *Lagrange Interpolating Polynomial Solver Using Spreadsheet Excel Proceeding of the National Symposium on Application of Science Mathematics 2010 (SKASM 2010) and 18th Mathematical Science National Symposium (SKSM 2010)* 331-337

Tay K G, Kek S L and Abdul-Kahar R 2014 A Bivariate Approximation Spreadsheet Calculator by Lagrange Interpolation *Spreadsheets in Education (eJSiE)***7** 1-8

Tay K G and Kek S L 2008 Approximating The Dominant Eigenvalue Using Power Method Through Spreadsheet Excel *Proceeding of the National Symposium on Application of Science Mathematics 2008 (SKASM 2008)* 599-604

Tay K G and Kek S L 2009 Approximating the Smallest Eigenvalue Using Inverse Method Through Spreadsheet Excel *Proceeding of the 17th National Symposium on Mathematical Science (SKSM 2009)* 653-658

Tay K G, Kek S L and Abdul-Kahar R 2013 Numerical Differentiation Spreadsheet Calculator *Proceedings of the National Symposium on Application of ScienceMathematics 2008 (SKASM 2013)* 111-120

Tay K G, Kek S L, Abdul-Kahar R, Azlan M A and Lee M F 2013 A Richardson’s Extrapolation Spreadsheet Calculator for Numerical Differentiation *Spreadsheets in Education (eJSiE)***6** 1-5

*AIP Conference Proceedings*

**1605**740-743

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Tay K G, Kek S L and Abdul-Kahar R 2015 New Richardson’s extrapolation spreadsheet calculator using VBA programming for numerical differentiations *AIP Conference Proceedings***1660** 050063-1-050063-4

Tay K G, Cheong T H, Kek S L and Abdul-Kahar R 2014 The Fourth Version of Richardson’s Extrapolation Spreadsheet Calculator Using VBA Programming for Numerical Differentiations *Proceeding ofInternational of Global Trends in Academic Research (GTAR 2014)* 189-195

Tay K G, Cheong T H, Kek S L and Abdul-Kahar R 2014 The Richardson’s Extrapolation Graphical User Interface Spreadsheet Solver *Journal of Telecommunication, Electronic and Computer Engineering***8** 117-121

Tay K G, Cheong T H, Mohd-Nawar N K A, Kek S L and Abdul-Kahar R 2015 A Romberg Spreadsheet Calculator *Spreadsheets in Education (eJSiE)***8** 1-12

Tay K G and Kek S L 2009 Fourth-Order Runge-Kutta Method Using Spreadsheet Excel *Proceedings of the 4th International Conference on Research and Education in Mathematics (ICREM4)* 666-672

Tay K G, Kek S L and Abdul-Kahar R 2012 A Spreadsheet Solution of a System of Ordinary Differential Equations Using the Fourth-Order Runge-Kutta Method *Spreadsheets in Education (eJSiE)***5** 1-10

Tay K G, Cheong T H, Lee M F, Kek S L and Abdul-Kahar R 2015 A fourth-order Runge-Kutta (RK4) Spreadsheet Calculator For Solving A System of Two First-Order Ordinary Differential Equations Using Visual Basic (VBA) Programming *Spreadsheets in Education (eJSiE)***8** 1-9

*Procedia-Social and Behavioral Sciences*

**204**231-239

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Tay K G, Kek S L, Cheong T H and Abdul-Kahar R. 2016 The Euler’s Spreadsheet Calculator Using Visual Basic Programming For Solving Ordinary Differential Equations *ARPN Journal of Engineering and Science***11** 11819-11822

Tay K G, Kek S L and Abdul-Kahar R 2009 Solutions of Laplace’s Equations Using Spreadsheet Excel *National Seminar on Scienceand Technology 2009 (PKPST 2009)* 40-45

Motivated by the previous literature works of spreadsheet solutions of ordinary differential equations (ODE) and a system of ODEs using fourth-order Runge-Kutta (RK4) method, we have built a spreadsheet calculator for solving ODEs numerically by using the RK4 method and VBA programming. In this spreadsheet calculator, a user interface input form is developed to capture the needed information to solve the ODE via the RK4 method. In the first frame of the user interface input form, users are prompted to enter independent and dependent variables in the ODE. On the other hand, they are needed to input the interval for the independent variables, initial value for the dependent variable, step size *h* and select the desired accuracy of calculation in the second frame of the user interface input form. Lastly, in the third frame of the user interface input form, users are required to enter the ODE function and exact function of ODE if it exists. Once the Solve button is clicked, the full solution of the ODE will be calculated automatically using the RK4 method. This spreadsheet calculator is user-friendly especially for users who are not familiar with Excel. We hope that this spreadsheet calculator can be used as a marking scheme for educators and students who require the full solutions of the ODEs. Moreover, this spreadsheet calculator reduces calculation time and it is hoped to improve studentsâ€™ learning ability.

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