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Aims to solve singular two‐point boundary value problems, linear and non‐linear by using modified and standard decomposition methods, respectively.

The approximate solution of this problem is calculated in the form of series with easily computable components.

The accuracy of the presented numerical method was examined in comparison with others and was found to be superior.

The decomposition method provided a reliable technique that required less work when compared with the traditional techniques. The method does not require unjustified assumptions linearisation discretizations or perturbation.

The Adomian decomposition method was found to be very easy to apply to both differential equations, higher‐order boundary value problems and linear or non‐differential systems.

The technique is both innovative and efficient and an original approach for solving singular two‐point boundary value problems.

This paper aims to examine the formation of Kavaklıdere as a ‘modern’ residential district during the 1950s. Contemporary urbanization brought about changes in various regions of Ankara, among which Kavaklıdere emerged as an important location with features that defined a new stage in the development of the identity of the capital city. The construction of houses in this district from the early 1950s onwards was in accordance with new functional requirements resulting from the needs of the contemporary socio-economic context, and exemplified the relationship between architectural approaches and social developments. In line with the rapid urbanization of Ankara throughout the 1950s, daily life in Kavaklıdere was transformed, as experienced in the apartment blocks that were the newly constructed sites of modernization. The contemporary transformation of Kavaklıdere was apparently formal and spatial, with the modernist architectural approach of the period, i.e. the so-called International Style, beginning to dominate in the shaping of its changing character. Nonetheless, the transformation was not only architectural but also social: the characteristics of this part of the city were then defined by structures like these apartment blocks, which brought modernist design features, together with modern ways of living, into wider public use and appreciation. The paper discusses how the identity of Kavaklıdere as a residential district was formed in the context of the mid-twentieth century, when these new residences emerged as pioneering modernist architectural housing, the product of social change, which housed and hence facilitated the ‘modern’ lifestyle of that time.

The purpose of this paper is to introduce a new modified version of the homotopy perturbation method (NMHPM) and Adomian decomposition method (ADM) for solving the nonlinear ordinary differential equation arising in MHD non-Newtonian fluid flow over a linear stretching sheet.

The governing equation is solved analytically by applying a newly developed optimal homotopy perturbation approach and ADM. This optimal approach contains convergence-control parameter and is computationally rather efficient. The results of numerical example are presented and only a few terms are required to obtain accurate solutions.

A new modified optimal and ADM methods accelerate the rapid convergence of the series solution. These methods dramatically reduce the size of work. The obtained series solution is combined with the diagonal Padé approximants to handle the boundary condition at infinity. Results derived from these methods are shown graphically and in tabulated forms to study the efficiency and accuracy.

Non-Newtonian flow processes play a key role in many types of polymer engineering operations. The formulation of mathematical model for these processes can be based on the equations of non-Newtonian fluid mechanics. The flow of an electrically conducting fluid in the presence of a magnetic field is of importance in various areas of technology and engineering such as MHD power generation, MHD flow meters, MHD pumps, etc. It is generally admitted that a number of astronomical bodies (e.g. the sun, Earth, Jupiter, Magnetic stars, Pulsars) posses fluid interiors and (or least surface) magnetic fields.

The present results are original and new for the MHD non-Newtonian fluid flow over a linear stretching sheet. The results attained in this paper confirm the idea that NMHPM and ADM are powerful mathematical tools and that can be applied to a large class of linear and nonlinear problems arising in different fields of science and engineering.

This purpose of this paper is to find the approximate analytical solutions of a multidimensional partial differential equation such as Helmholtz equation with space fractional derivatives α,β,γ (1<α,β,γ≤2). The fractional derivatives are described in the Caputo sense.

By using initial values, the explicit solutions of the equation are solved with powerful mathematical tools such as He's homotopy perturbation method (HPM).

This result reveals that the HPM demonstrates the effectiveness, validity, potentiality and reliability of the method in reality and gives the exact solution.

The most important part of this method is to introduce a homotopy parameter (p), which takes values from [0,1]. When p=0, the equation usually reduces to a sufficiently initial form, which normally admits a rather simple solution. When p→1, the system goes through a sequence of deformations, the solution for each of which is close to that at the previous stage of deformation. Here, we also discuss the approximate analytical solution of multidimensional fractional Helmholtz equation.

During the post-World War II period, Turkey's housing supply models were limited to individual housings. Three main trends in the construction industry helped overcome this limitation to a certain extent. These were cooperative societies, spontaneous squatter housing and the build-sell process. Build-sell process later became the most obvious reflection of urban transformation in the 1950s and 1960s. Within this context, this study examines the housing policy of the period and the build-sell process as well as the Rer-1 Apartment Block designed in line with the build-sell process. The Rer-1 Apartment Block was designed and implemented by architect Nejat Ersin between the years 1962-1964, and was constructed in Aşağı Ayrancı District in Ankara. This specific apartment block was examined as an extraordinary example of the build-sell process - which rejects architectural concerns and prioritises profits - as it still incorporated such concerns despite being designed adhering to logic of the build-sell process. For the purpose of this study, an oral history study was conducted with Nejat Ersin. It was, therefore, possible to evaluate Nejat Ersin's apartment block, presenting a new experience in the build-sell context, within the scope of era's social, cultural, political and economic conjecture. The Rer-1 Apartment Block was scrutinized from the build-sell process aspect within the scope of the architect's professional approach.

Given the broad scale and fundamental transformations occurring to both the natural environment and human condition in the present era, what does the future hold for vernacular architecture studies? In a world where Capital A (sometimes referred to as ‘polite’) architectural icons dominate our skylines and set the agenda for our educational institutions, is the study of vernacular architecture still relevant? What role could it possibly have in understanding and subsequently impacting on architectural education, theory and practice, and in turn, professional built environment design? Imagine for a minute, a world where there is no divide between the vernacular and the ‘polite’, where all built environments, past and present are open to formal research agendas whereby the inherent knowledge in their built histories inform the professional design paradigm of the day – in all built settings, be they formal or informal, Western or non-Western. In this paper, the author is concerned with keeping the flames of intellectual discontent burning in proposing a transformation and reversal of the fortunes of VAS within mainstream architectural history and theory.

In a world where a social networking website can ignite a revolution, one can already see the depth of global transformations on the doorstep. No longer is there any excuse to continue intellectualizing global futures solely within a Western (Euro-American) framework. In looking at the history of VAS, the purpose of this paper is to illustrate that the answers for its future pathways lie in an understanding of the intellectual history underpinning its origins. As such, the paper contends that the epistemological divide established in the 1920s by art historians, whereby the exclusion of so-called non-architect architectures from the mainstream canon of architectural history has resulted in an entire architectural corpus being ignored in formal educational institutions and architectural societies today. Due to this exclusion, the majority of mainstream architectural thinkers have resisted theorizing on the vernacular. In the post-colonial era of globalization the world has changed, and along with it, so have many of the original paradigms underpinning the epistemologies setting vernacular environments apart. In exploring this subject, the paper firstly positions this dichotomy within the spectrum of Euro-American architectural history and theory discourse; secondly, draws together the work of scholars who have at some point in the past called for the obsolescence of the term ‘vernacular’ and the erasure of categorical distinctions that impact on the formal study of what are perceived as non-architectural environments; and finally, sets out the form by which curricula for studies of world architecture could take.

The purpose of this study is to establish a hierarchy of critical success factors to develop a framework for evaluating the performance of smart grids from a sustainability perspective.

The fuzzy analytical hierarchy process is used in this study to assess and determine the relative weight of economic, operational and environmental criteria. At the same time, the evidential reasoning algorithm is used to determine the belief degree of expert’s opinion, and the expected utility theory for the crisp value of success factors in performance estimation.

The finding reveals that success factors associated with the economic criteria receive significantly more attention from the expert group. Sensitivity analysis indicates the ranking of consumer satisfaction remains stable no matter how criteria weights are changed, which verifies the robustness and effectiveness of the proposed model and evaluation results.

The study presents a solid mathematical framework for collaborative system modeling and systematic analysis. Managers and stakeholders may use the proposed technique as a flexible tool to improve the energy system’s resiliency in a systematic way.

Heritage buildings are a crucial part of the UK built sector. They perpetuate a sense of identity, prestige and community. Many heritage buildings however tend to be energy inefficient and the scope for retrofitting such buildings is paramount. Heritage buildings require ratification from planning bodies in order to undertake any alteration on the building. This tends to create a bottleneck in the retrofitting of heritage office buildings. The paper aims to discuss this issue.

This study utilises a case study building in Scotland to evaluate the potential for retrofitting in a UK heritage office building. Building energy simulation software is used to generate the energy data in different retrofit options. A scenario analysis on the heritage status of the building is also undertaken.

The costs, energy consumption and carbon emission levels are evaluated and compared. It was found that the differential in annual energy savings achieved, based on the proportion of capital cost to operational cost, is 14.6 per cent in the heritage building, compared to 24.6 per cent in the non-heritage building.

The study suggests that government and other stakeholders should seek for ways of incentivising retrofit investments in heritage buildings. This will provide an effective way of minimising the contributions of the built environment to global warming and climate change.