Approximate Solution of Fractional Order of Partial Differential Equations Using Laplace-Adomian Decomposition Method in MATLAB (Published)
This article presents the application of the Laplace-Adomian Decomposition Method (LADM) for solving partial differential equations (PDEs) in the context of heat conduction and wave propagation. The LADM combines Laplace transform and Adomian decomposition to approximate solutions to PDEs efficiently in MATLAB. The procedure involves transforming the PDE into simpler differential equations, which are then solved iteratively using the Adomian decomposition method. The advantages of LADM include simplicity, flexibility, and applicability to a wide range of PDEs. We demonstrate the effectiveness of LADM through numerical experiments solving the heat equation and wave equation using MATLAB. The results show good agreement with analytical solutions and highlight the efficiency and accuracy of LADM for solving PDEs.
Keywords: Laplace-Adomian Decomposition Method (LADM) MATLAB, Partial Differential Equations, Visualization, computational methods, numerical solution, one-dimensional heat equation, one-dimensional wave equations, surface plots
Visualization and Message Design Concepts of Presenting Statistical Data through Videos to Improve Understanding (Published)
Learning statistics generally still presented in the form of stories in the books. This study aims to determine the visualization of the basic concepts of presenting statistical data using video. video designs stories into real stories experienced by students so that fact objectivity is created. it aims to make the messages in the story match the experiences experienced by students. this creating recaling knowledge and creating understanding. The research method used in this research is qualitative research with the phenomenological type, where the video is visually used to present messages, namely the concept of presenting data in tables and diagrams. The presentation technique in the video is in the form of a message demonstration that contains facts, concepts, procedures and principles. As for the data analysis used later, namely the observation data, interviews and documentation after using the video by means of data triangulasi. The research of this study were to compare the observation data, interviews and documentation in the form of student understanding data. Based on the observation data, it shows that students pay attention to the video and can explain the story again in the video. interview data shows and answers many type of data and its presentation. documentation data in the form of activity data in class at the second meeting compared to data at the first meeting without using video. Observations, interviews and the results obtained that observations with the aim of knowing whether students understand the sequence in the story is worth 74%, remembering the presentation data 86%, understanding the explanation of data in tables and diagrams 84%, explaining and explaining problems when the video is repeated 75%. This data was obtained when making observations and asking students when they were shown a video.
Firmansah M.L.H. (2022) Visualization and Message Design Concepts of Presenting Statistical Data through Videos to Improve Understanding, International Journal of Mathematics and Statistics Studies, Vol.10, No.5, pp.61-69
Keywords: Understanding, Video, Visualization, message design, statistic
The Geometric Thinking Levels of Senior High School Students in Ghana (Published)
This study was to measure the Van Hiele’s levels of geometric thinking attained by Ghanaian final year (SHS 3) students before leaving School. A quantitative research approach was employed in the study and sample of 200 students randomly selected from the three participated schools. The results showed that 42.5% of the students could not attain any VHG level at all, 33% of the students attained Van Hiele’s level 1, 22.5% reached level 2, 1.5% reached level 3 and only 0.5% reached level 4.The findings indicated that most of the Ghanaian SHS form 3 students do not attain any level of VHGT.
Keywords: Geometric Thinking, Geometry, Van Hiele’s Levels, Visualization, cognitive development