1,725,516 research outputs found
Homotopy perturbation Shehu transform method for solving fractional models arising in applied sciences
No full textUsing the recently proposed homotopy perturbation Shehu transform method (HPSTM), we successfully construct reliable solutions of some important fractional models arising in applied physical sciences. The nonlinear terms are decomposed using He’s polynomials, and the fractional derivative is calculated in the Caputo sense. Using the analytical method, we obtained the exact solution of the fractional diffusion equation, fractional wave equation and the nonlinear fractional gas dynamic equation
New Integral Transform: Shehu Transform a Generalization of Sumudu and Laplace Transform for Solving Differential Equations
Full text linkIn this paper, we introduce a Laplace-type integral transform called the Shehu transform which is a generalization of the Laplace and the Sumudu integral transforms for solving differential equations in the time domain. The proposed integral transform is successfully derived from the classical Fourier integral transform and is applied to both ordinary and partial differential equations to show its simplicity, efficiency, and the high accuracy.</p
Solution of Volterra Type Differential Equations with Shehu Transform and Shehu Decomposition Method
No full textBu çalışmada, integral dönüşümlerinden biri olan Shehu dönüşümünden bahsedilip bu dönüşüm ikinci tür lineer Volterra integro-diferensiyel denklemlere ilk kez uygulanmıştır. Ayrıca, Shehu ayrıştırma metodu hakkında bilgi verilmiştir. Bu metot, ikinci tür lineer olmayan Volterra integro-diferensiyel denklem ve denklem sistemine ilk kez uygulanmıştır.In this study, the Shehu transform, which is one of the integral transformations, is mentioned and this transformation is applied to the second kind of linear Volterra integro-differential equations for the first time. In addition, Shehu decomposition method, which is available in the literature, is mentioned. This method has been applied for the first time to the second kind of nonlinear Volterra integro-differential equations and system of equations
On Double Shehu Transform and Its Properties with Applications
Full text linkIn the current paper, we have generalized the concept of one dimensional Shehu transform into two dimensional Shehu transform namely, double Shehu transform (DHT). Further, we have established some main properties and theorems related to the (DHT). To show the efficiency, high accuracy and applicability of the proposed transform, we have implemented the new transform to solve integral equations and partial differential equations
Economic Ideas of Shehu Usman Dan Fodio
Full text linkThis is a comment on a paper entitled "Economic Ideas of Shehu Usman Dan Fodio" by Sule Ahmed Gusau,published in the Journal Institute of Muslim Minority Affairs vol. X, No.1
Shehu Integral Transform and Hyers-Ulam Stability of nth order Linear Differential Equations
No full textIn this paper, we establish the Shehu transform expression for homogeneous and non-homogeneous linear differential equations. With the help of this new integral transform, we solve higher order linear differential equations in the Shehu sense. Moreover, this paper introduced a new concept to find the Hyers-Ulam stability of the differential equation. This is the first attempt to use the Shehu transform to prove the Hyers-Ulam stability of the differential equation. Finally, the applications and remarks are discussed to demonstrate our strategy. Applications of the Shehu transform to fractional differential equations, Newton’s law of cooling, and free undamped motion are also discussed
PENYELESAIAN PERSAMAAN LANE-EMDEN MENGGUNAKAN KOMBINASI METODE SHEHU DAN DEKOMPOSISI ADOMIAN
Full text linkPENYELESAIAN PERSAMAAN LANE-EMDEN
MENGGUNAKAN KOMBINASI METODE SHEHU DAN
DEKOMPOSISI ADOMIAN
ANNISA AGUSTINA
NIM. 11850422193
Tanggal Sidang : 14 Juli 2022
Tanggal Wisuda : 2023
Program Studi Matematika
Fakultas Sains dan Teknologi
Universitas Islam Negeri Sultan Syarif Kasim Riau
Jl. HR. Soebrantas No. 155 Pekanbaru
ABSTRAK
Metode Transformasi Shehu Dekomposisi (STDM) merupakan gabungan metode semi analitik
diantara metode transformasi Shehu dan Dekomposisi Adomian. Penggabungan kedua metode
tersebut dilakuan untuk mendapatkan metode yang lebih baik dalam menyelesaikan persamaan
diferensial nonlinier. Tugas akhir ini membahas penyelesaian persamaan diferensial Lane Emden
menggunakan kombinasi metode Transformasi Shehu dan Dekomposisi Adomian. Penyelesaian
persamaan diferensial nonlinier dikontruksi dalam bentuk deret polinomial. Simulasi numerik
diberikan untuk menguji performasi metode tersebut dengan menggunakan dua persoalan nilai awal.
Nilai-nilai penyelesaian hampiran di plot dalam bentuk grafik dan dibandingkan dengan solusi
eksak. Pada hasil kajian menunjukkan bahwa metode tersebut dapat menyelesaikan persamaan
diferensial Lane Emden.
Kata Kunci: Metode transformasi Shehu, Metode Dekomposisi Adomian, Persamaan diferensial
Lane Emden, Simulasi Numerik
Shehu Uthman Dan Fodio and his economic ideas
Full text linkIn an attempt to investigate Muslim economic thinking in the 12th century Hijrah, corresponding 18th century C E, the present paper explores economic ideas of one of the greatest Muslim personalities of the period, Shehu Uthman Dan Fodio (1167-1233/1754-1817), who is commonly known as revivalist and renovator of religious beliefs and practices and founder of the Sokoto Khilafat. At the outset, to provide background knowledge of the personality of Shehu Uthman Dan Fodio, the paper sheds light on time and environment in which he lived, his life and work, and his impact
Implementation of pushover analysis for seismic assessment of masonry towers: Issues and practical recommendations
Full text linkSeismic assessment is a paramount issue and a valuable instrument towards the conservation of vulnerable structures in seismic prone regions. The past seismic events have highlighted the vulnerability of masonry towers that is exhibited by severe structural and nonstructural damages or even collapses. The preservation of existing structures, mainly focused on the built heritage, is emerging and imposing substantial enhancements of numerical methods, including pushover analysis approaches. The accuracy of the estimated seismic capacity for these structures is correlated with the assumed strategies and approximations made during the numerical modeling. The present paper concerns those aspects by exploring the limitations and possibilities of conceiving pushover analysis in the finite element method environment. The most crucial target is tracing in a pushover capacity curve the corresponding initiation of structural damages, maximum load-bearing capacity, and the ultimate displacement capacity. Different recommendations for achieving this target have been proposed and illustrated for practical utilization. Three representative geometrical towers, adopting three different materials and five different load patterns, are investigated in this study. The load pattern’s role and necessity of the displacement-like control approach for the pushover analysis are exploited. This paper highlights the load-bearing capacity overestimation when the force-controlled are implemented. The material model influences the achievement of softening branch with a distinguishable displacement capacity
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