The Wang-Ball polynomials operational matrices of the derivatives are used in this study to solve singular perturbed second-order differential equations (SPSODEs) with boundary conditions. Using the matrix of Wang-Ball polynomials, the main singular perturbation problem is converted into linear algebraic equation systems. The coefficients of the required approximate solution are obtained from the solution of this system. The residual correction approach was also used to improve an error, and the results were compared to other reported numerical methods. Several examples are used to illustrate both the reliability and usefulness of the Wang-Ball operational matrices. The Wang Ball approach has the ability to improve the outcomes by minimizing the degree of error between approximate and exact solutions. The Wang-Ball series has shown its usefulness in solving any real-life scenario model as first- or second-order differential equations (DEs).
المستخلص [English] Peace-building is a science that has its foundations and needs mechanisms, components, studies and plans based on the needs of the parties responsible for achieving peace and meeting the necessary needs of conflict societies, as it has become a goal sought by many local and regional actors and parties. The State of South Africa has realized this fact and has devoted space in its conception and planning to addressing the issues of conflict and war within the framework of its unitary work.Since security and stability in general seek to create peaceful and legal means through which existing problems can be expressed and addressed. The differences have varied to build peace and create cooperation between groups and th
... Show MoreAbstract The research investigates in detail the fascinating story of its title character, which may work as an allegory for Africa itself in its past. Ama Ata Aidoo is miscellaneous writers who wrote in different literary genre like drama , short stories novel and , poetry and criticism . She is also an active feminist. Aidoo is against the colonial practice and its influence on African minds. Aidoo's play Anowa confronts painful issues in Africa's past, mostly those of the slave trade. She goes further to tackle issues of patriarchal domination and African feminism, like the relationships between individuals and society, women and motherhood, men and women, husbands and wives, mothers and daughters, and above all the future invasion
... Show MorePsychosocial Alienation is a modern concept that arises from the capitalist and materialistic conceptions of individuals. The evergrowing competitive nature of domestic societies crystallised the concept in its modern form. The intensity of the rapid changes in the urbanised societies prevents the individuals from exploring their inner selves. Thus, a new generation is created with an alienation crisis which is reflected inward towards the self and outwards toward society. Alan Ayckbourn (1939), A British playwright, presents Alienated characters inspired by his life on and off stage. He explores their Alienation and their path toward recovery and self-realization. A Brief History of Women (2017) Ayckbourn explores the depth of the individu
... Show MoreHarold Pinter’s The Caretaker(1959) clearly portrays a lack of communication among the characters of the play which refers to the condition of modern man. This failure of communication led Harold Pinter to use a lot of pauses and silences in all the plays he wrote instead of words. Samuel Beckett preceded Pinter in doing so in his plays and one way to express the bewilderment of modern man during the 20th century is through the use of no language in the dramatic works. Language is no more important to modern man; instead, he uses silence to express his feelings. Silence is more powerful than the words themselves. That’s why long and short pauses can be seen throughout all Pinter’s plays.
In this play, th
... Show MoreWater flow into unsaturated porous media is governed by the Richards’ partial differential equation expressing the mass conservation and Darcy’s laws. The Richards’ equation may be written in three forms,where the dependent variable is pressure head or moisture content, and the constitutive relationships between water content and pressure head allow for conversion of one form into the other. In the present paper, the “moisture-based" form of Richards’ equation is linearized by applying Kirchhoff’s transformation, which
combines the soil water diffusivity and soil water content. Then the similarity method is used to obtain the analytical solution of wetting front position. This exact solution is obtained by means of Lie’s
The need to exchange large amounts of real-time data is constantly increasing in wireless communication. While traditional radio transceivers are not cost-effective and their components should be integrated, software-defined radio (SDR) ones have opened up a new class of wireless technologies with high security. This study aims to design an SDR transceiver was built using one type of modulation, which is 16 QAM, and adding a security subsystem using one type of chaos map, which is a logistic map, because it is a very simple nonlinear dynamical equations that generate a random key and EXCLUSIVE OR with the originally transmitted data to protect data through the transmission. At th
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