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In this review, we undertake an in-depth survey of the traditional as well as modern methods used in finding solutions for partial differential equations (henceforth PDEs). We categorise these equations into three main kinds: elliptic, parabolic, and hyperbolic. We also give illustrative examples of these PDEs and discuss the applications of them in a range of fields. This range extends from fluid dynamics (hydrodynamics), as well as thermal (heat) conduction, to quantum mechanics. Our exploration features a number of analyses used in this regard such as variable splitting or defactorising in addition to the transforms invented by Fourier and Laplace. Not only this but also this survey takes in numerical methods ranging from grid-based (finite difference), mesh-based (finite element) to spectral. Also discussed in this paper is a range of special techniques that ranges from the variational techniques, Green's (fundamental solution) functions to perturbation (also known as Asymptotic expansion in addition to sketching the latest developments with respect to computational methods. This review also sheds light on current challenges that confront addressing complicated PDEs especially those nonlinear and multi-variable. In this regard, the paper calls for more research in order to develop more effective methods. The paper maps out the importance of PDE usages in real-life and its potential for more related discoveries in the future particularly with respect to areas such as machine learning and quantum computing.

Education is the main foundation for the progress of society and individuals, Basic education is very important to build students' knowledge and skills, especially in the field of science. Conventional methods, such as the use of illustrations and textbooks, are often not interesting and interactive. Digital technology presents new opportunities in learning innovation, including by utilizing augmented reality (AR). This study aims to analyze and evaluate the use of interactive media based on augmented reality (AR) in learning the topic of animal classification based on their type of food. The method used is a literature study by reviewing various scientific sources, including journals, articles, and relevant research reports in the last five years. AR-based interactive media offers an innovative and immersive learning experience, allowing students to interact directly with virtual objects in the form of three-dimensional (3D) visualizations. The results of the study show that the use of AR can improve students' understanding of the material, increase engagement in learning, and provide a more interesting and contextual learning experience. In addition, AR media is considered effective in helping students identify animal characteristics based on eating habits, such as herbivores, carnivores, and omnivores. This study concludes that the integration of AR in science learning at the elementary school level has great potential to improve learning effectiveness.

Education is the main foundation for the progress of society and individuals, Basic education is very important to build students' knowledge and skills, especially in the field of science. Conventional methods, such as the use of illustrations and textbooks, are often not interesting and interactive. Digital technology presents new opportunities in learning innovation, including by utilizing augmented reality (AR). This study aims to analyze and evaluate the use of interactive media based on augmented reality (AR) in learning the topic of animal classification based on their type of food. The method used is a literature study by reviewing various scientific sources, including journals, articles, and relevant research reports in the last five years. AR-based interactive media offers an innovative and immersive learning experience, allowing students to interact directly with virtual objects in the form of three-dimensional (3D) visualizations. The results of the study show that the use of AR can improve students' understanding of the material, increase engagement in learning, and provide a more interesting and contextual learning experience. In addition, AR media is considered effective in helping students identify animal characteristics based on eating habits, such as herbivores, carnivores, and omnivores. This study concludes that the integration of AR in science learning at the elementary school level has great potential to improve learning effectiveness.

This study aims to describe the implementation of exemplary methods in moral learning, especially in the material of speaking manners at Muhammadiyah Boarding School Tarakan. The method in this study uses a qualitative approach, with the type of case study research. Data collection techniques with observations, interviews and documents on teachers and students. The results of the study show that the exemplary method applied in moral learning has a positive impact on changing student behavior, especially in terms of speaking politely and respecting others. Learning is carried out through the opening, core, and closing stages that emphasize the importance of speaking manners in daily life. The teacher acts as the main role model by showing speaking manners that are in accordance with the teachings of Islam. Although the exemplary method has proven to be effective, the biggest challenge lies in the istiqomama of students in applying speaking manners in daily life.

This study aims to explore the role of cross-cultural Christian education in cyberspace in supporting the formation of virtual faith communities for global spiritual formation and interfaith dialogue. Issues that include the challenges of globalization and digitalization that change the way communities interact, especially in religious contexts. The methods used are concept analysis and literature studies that support the development of a theoretical framework for digital-based cross-cultural education. The results of the study indicate that digital platforms can be an effective means of creating inclusive cross-cultural dialogue spaces, strengthening spiritual identity, and facilitating cross-cultural learning. The findings also highlight the importance of design programs that are sensitive to cultural and technical contexts. The main conclusion of this study is that cross-cultural Christian education in cyberspace can be a powerful tool for advancing global solidarity and interfaith dialogue. However, its success depends on collaboration between educators, technology developers, and religious communities, as well as attention to obstacles such as digital literacy and unequal access to technology.

The digital era brings challenges to the internalization of Pancasila values, especially among generation Z who are exposed to global information flows and foreign cultures. This research aims to analyze the influence of digital technology on the understanding of Generation Z about Pancasila, especially the third precept, "Unity of Indonesia." Using a qualitative approach and analytical descriptive methods, this study utilizes data from literature and documentation. The results of the study show that Generation Z still respects cultural, ethnic, and religious diversity. However, global cultural influences can shift appreciation of local values. Pancasila-based education and critical literacy play an important role in maintaining the relevance of these values. The use of digital technology as a medium of learning and socialization is considered strategic in strengthening the understanding of Generation Z of Pancasila. In conclusion, the values of Pancasila remain relevant if supported by innovative and technology-based education. This step is important to ensure that generation Z can face globalization without losing their national identity, as well as internalize and apply Pancasila values in daily life.