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All Journal International Journal of Business, Technology, and Organizational Behavior (IJBTOB) Journal of Multidisciplinary Science: MIKAILALSYS Mikailalsys Journal of Mathematics and Statistics
Musa, Abubakar
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Agriculture, Biological Sciences & Forestry Humanities Chemical Engineering, Chemistry & Bioengineering Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Engineering Environmental Science Industrial & Manufacturing Engineering Library & Information Science Mathematics Mechanical Engineering Physics Social Sciences Other

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Application of a Modified Adomian Decomposition Method for Solving Linear and Nonlinear Partial Differential Equations O., Okai J.; Musa, Abubakar; N., Sanda L.; M., Nasir U.; Y., Hafsat U.; S., Gidado A.; B, Mwaput D.; T., Danjuma; T., Shaukuna T.; Abdulkarim, Muhammad; U., Mujahid A.
Journal of Multidisciplinary Science: MIKAILALSYS Vol 3 No 3 (2025): Journal of Multidisciplinary Science: MIKAILALSYS
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mikailalsys.v3i3.7318

Abstract

Partial Differential Equations (PDEs) are fundamental to the mathematical modeling of various physical, chemical, and engineering phenomena. However, solving nonlinear PDEs poses significant challenges due to the lack of general closed-form solutions and the limitations of traditional numerical methods. This study introduces a Modified Adomian Decomposition Method (MADM) as an effective semi-analytical approach for solving both linear and nonlinear PDEs, with specific application to the Advection, Burgers’, and Sine-Gordon equations. The MADM enhances the classical Adomian Decomposition Method (ADM) by incorporating refined recursive structures and inverse operators, leading to improved solution accuracy and convergence speed. The results demonstrate that MADM not only yields highly accurate approximations but also reproduces exact solutions in certain cases. Comparative analysis with established methods such as the Variational Iteration Method (VIM) and the New Iteration Method (NIM) reveals that MADM outperforms them in terms of computational efficiency and precision. These findings underscore MADM's potential as a robust and efficient tool for solving a wide class of complex PDEs in applied sciences and engineering.
Application of a Modified Adomian Decomposition Method for Solving Linear and Nonlinear Partial Differential Equations O., Okai J.; Musa, Abubakar; N., Sanda L.; M., Nasir U.; Y., Hafsat U.; S., Gidado A.; B., Mwaput D.; T., Danjuma; T., Shaukuna T.; Abdulkarim, Muhammad; U., Mujahid A.
Mikailalsys Journal of Mathematics and Statistics Vol 3 No 3 (2025): Mikailalsys Journal of Mathematics and Statistics
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjms.v3i3.7492

Abstract

Partial Differential Equations (PDEs) are fundamental tools for modeling dynamic behaviors in physical, chemical, and engineering systems. However, solving nonlinear PDEs poses significant challenges due to the lack of closed-form solutions and the computational limitations of classical numerical approaches. This study introduces the Modified Adomian Decomposition Method (MADM) as an effective semi-analytical technique for solving both linear and nonlinear PDEs, with applications to the Advection, Burgers’, and Sine-Gordon equations. MADM enhances the classical Adomian Decomposition Method by incorporating refined recursive structures and inverse operators, which improve the convergence rate and simplify the solution process. The results demonstrate that MADM provides highly accurate solutions, often matching known exact solutions, and exhibits faster convergence compared to existing methods. Comparative analysis with the Variational Iteration Method (VIM) and the New Iteration Method (NIM) further highlights MADM’s computational efficiency and precision. These findings establish MADM as a robust and reliable tool for addressing complex PDEs across various scientific domains.
An Investigation into the Challenges Facing Collection and Distribution of Educational Data in F.C.T Educational Institutions, Abuja, Nigeria Jacob, Ogunode Niyi; Samuel, Adah; Elizabeth I, Auduh; Musa, Abubakar
International Journal of Business, Technology and Organizational Behavior (IJBTOB) Vol. 1 No. 2 (2021): International Journal of Business, Technology, and Organizational Behavior (IJB
Publisher : Garuda Prestasi Nusantara Consulting

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52218/ijbtob.v1i2.18

Abstract

This study investigated the challenges facing the collection and distribution of educational data in F.C.T Educational institutions, Abuja, Nigeria. The researchers used descriptive research survey design for the study. The study comprised a population of one hundred and twenty (120) respondents which made up of data collection officers in the selected educational institutions across the FCT. Ten (10) data collection officers from each area council and ten (10) data collection officers from six departments/agencies/units within the ministries of education in Abuja were used in the study. Purposive, Stratified and systematic sampling technique was used to select the sample population from the educational institutions across Abuja. The reliability of the instrument was determined through the test re-test method. Data was collected by questionnaire and were analyzed using percentage and chi-square. The study led to the conclusion that inadequate funding, shortage of professional data collection officers, inadequate working materials, institutional corruption, poor capacity development programme of data collection officers, poor methods and approaches used for collecting data, poor supervision and inspection and political influence are the problems hindering effective data collection and distribution in educational institutions. The study also established that there is significant relationship between challenges and collection and distribution of educational data in schools. Based on this finding, the following were recommended: that the federal, state and local government should increase the funding of education and more priority should be given to data collection and distribution funding and the government at every level in FCT should employ more data collection officers and deploy them to the primary and secondary schools in FCT.
Co-Authors Abdulkarim, Muhammad B, Mwaput D. B., Mwaput D. Elizabeth I, Auduh Jacob, Ogunode Niyi M., Nasir U. N., Sanda L. O., Okai J. S., Gidado A. Samuel, Adah T., Danjuma T., Shaukuna T. U., Mujahid A. Y., Hafsat U.