Differential equations refer to the mathematical modeling of phenomena in various applied
fields, such as engineering, physics, chemistry, astronomy, biology, psychology, finance …

The nonlinear Bratu's boundary value problem arises in a large variety of application areas
such as solid fuel ignition model of thermal combustion, radiative heat transfer, thermal …

Most of the real-life problems are not linear. Therefore, nonlinear ordinary or partial
differential equations are used to model them. These equations are very effective in …

Integral transforms are methods that provide great convenience in reaching the solutions of
linear and nonlinear differential equations without making complex calculations. An integral …

Geçmişte olduğu gibi günümüzde de fiziksel olayların anlaşılması, doğru bir şekilde
yorumlanabilmesi ve modellenmesi gelişmiş matematiksel yöntemlerin kullanılmasını …

The hot spot temperature is an important factor affecting the operation state and insulation
life of oil-immersed transformer. It is of great value to carry out multi-physical field coupling …

Integral transforms have become the focus of investigations, because they allow the solution
of significant problems in the domains of science and engineering to be accomplished with a …

In many practical fields, such as engineering, physics, chemistry, biology, psychology,
economics, and finance, processes are simulated using differential equations. These …

Measles is an infectious respiratory disease and the disease is caused by a virus from the
Paramyxoviridae family (Yanagi et al., 2006; Griffin, 2016). The incubation period for …

Mathematical modeling is vital for resolving real-life problems in engineering, physics,
statistics, economics, finance, chemistry, and other domains. Differential equations often …