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Theses and Dissertations of this Department: Recent submissions

Now showing items 61-80 of 127

Solution On Nonlinear Perturbation K(M,N) Roseanu-Hyman Equation With Reduced Differential Transformation Method

Ajema, Gudeta (Ambo University, 2023-03)

In this thesis, the reduced differential transformation method (RDTM) has been implemented for solution of nonlinear perturbation k(m,n)Rosenau-Hyman equation with time fractional derivative order of α with (m − 1 < α < ...
Error Bernoulli Polynomials and their Relations to Hermite Polynomials

Dubiwak, Sia (Ambo University, 2023-03)

In this thesis, we discuss about a family of polynomials Bn( 1 2 , x) called Error Bernoulli Polynomials. These polynomials were first considered by Abdul Hassen and H.D.Nguyen as residues that emerge from error zeta ...
Relation ships Classical, Hypergeometric and Fractional Bernoulli Numbers and Polynomials

Diriba, Fituma (Ambo University, 2022)

Bernoulli polynomials are named after the Swiss mathematician Jacob Bernoulli (1654- 1705). These are the class of polynomials Bn(x) defined by zexz e z − 1 = X∞ n=0 Bn(x) z n n! , for |z| < 2π. With Bn = ...
Real Zeros of Bernoulli Polynomials on the Closed Interval [0,1]

Zakir, Abaoli (Ambo University, 2022-12)

Bernoulli numbers and Bernoulli polynomials are named after the Swiss mathematician Jacob Bernoulli (1654-1705). He introduced these num bers and polynomials in his book Ars Conjectandi, published posthu mously (Basel, ...
Determination Of The Levels Of Some Selected Heavy Metals In Wastewaters And Onion (Allium Cepa L) Bulb Irrigated With Wastewater Of Assela Malt Factory In Arsi Zone, Ethiopia

Kemal, Aman (Ambo University, 2022-10)

The aim of this study was to determine the levels of selected heavy metal (Fe, Mn, Zn, Cu, Pb and Cd) of the onion bulbs, the wastewater used to irrigate the crops, and the soil on which the crops were grown, using ...
Solutions For Fractional Diffusion Equation By Using A Chebyshev Spectral Tau Method

Birhanu, Oljira (Ambo University, 2023-01)

In this thesis, the solution of fractional Diffusion equation using spectral Tau method was successfully implemented in Caputo sense and Chebyshev polynomial of second kind subjected to recurrence relation. A numerical ...
Application of Liouville theorems for parabolic system with non linear gradient terms

Tefaye, Gezmu (Ambo University, 2022-12)

In this thesis, Liouville theorem was applied for parabolic sys tems with nolinear gradient terms. The analytical study design was used to achieve the stated objectives, different mathematical procedures were followed ...
Existence of positive super-solution of non linear biharmonic equation

Zelalem, Melese (Ambo University, 2022-12)

In this thesis, the existence of positive classical super solutions of non linear biharmonic equations of the certain problem is investigated on restricted domain. To do this, we considered non decreasing continu ous ...
Solution For A Fractional Diffusion Equation Using Variational Iteration Method

Demissie, Bekele (Ambo University, 2023-01)

In this thesis, the solution of fractional diffusion equation us ing Variational iteration method was successfully implemented in Gamma function and Mittag-Leffler function subjected to re currence relation. A numerical ...
Exact Traveling Wave Solutions Of Certain Nonlinear Partial Differential Equations Using The (G0=G2)-Expansion Method

Dessu, Shubise (Ambo University, 2022-12)

In this thesis, G0=G2-expansion Method was implemented in solving nonlinear partial differential equation of (1+1)-dimensional Ito equation(mathematical finance equaton) and (1+1)-dimensional combined Kdv and Mkdv equation. ...
Hermite Polynomials and their Applications Associated with Bernoulli and Euler numbers

Jebessa, Gishiru (Ambo University, 2022-12)

In this thesis, we consider Bernoulli polynomial, Euler polynomial, Bernoulli number and Euler number, the squares of Bernoulli polynomial, Euler polynomial. We also provide the concept of exponential function, explicit ...
Relations Between Legendre, Hermite, Bernoulli, Euler and Bernstein Polynomials

Bogale, Tesema (Ambo University, 2023-03)

In this thesis the Relations Between Legendre, Hermite, Bernoulli, Euler and Bernstein Polynomials are successfully implemented by using the inner product space of Legendre polynomial. Analytical technique for proof the ...
Bernoulli and Hermite Polynomials Associated with Jacobi Polynomials

Gena, Husen (Ambo University, 2022-12)

In 2017 N.U.Khan, T.Usman∗ and M.Aman [21] introduced the generating function for a Legendre based poly-Bernoulli polynomials and give some identities of these polynomials related to the stirling numbers of the second ...
Some Properties of Hermite Polynomials, their Squares and Cubes and Generating Functions

Ashenafi, Feyisa (Ambo University, 2023-01)

In this thesis, the generating functions of the Hermite polyno mials, the squares of Hermite polynomials considered by (He & Yang, 2018) .We consider the generating functions of the Her mite polynomials and cubic Hermite ...
Determination Of Positive Solution Of Quasilinear Parabolic Equations With Nonlinearity Of Convection Term

Destaw, Kassaw (Ambo University, 2022-12)

Determination of positive Solution of Quasilinear Parabolic equation is useful and effective for the study of surfaces in geometry in a variety of areas ,including economics and financial mathemat ics ,as well as computer ...
Solution of (2 + 1)− Dimensional Nonlinear Schr¨odinger Equation with Nonlinearity derivatives by Exp-function method

Fekadu, Akusha (Ambo University, 2022-12)

The main purpose of this thesis is to find the solution of (2 + 1)− dimensional nonlinear Schr¨odinger equations. The Exp-function method is applied to find a solution of (2 + 1)−dimensional nonlinear system of SE. It ...
A new class of generalized polynomials associated with Hermite-Bernoulli polynomials

Jebesa, Tamiru (Ambo University, 2022-12)

In this thesis, we analysis the concept of a new class of generalized polynomials associated with Hermite-Bernoulli polynomials of ordera. This generalization is a unification formula of the Hermite polynomials,Bernoulli ...
Well-Posedness Of Non Local Boundary Conditions For Fractional Diffusion-Wave Equations

Iyasu, Alemu (Ambo University, 2023-01)

In this thesis well-posedness of non-local boundary conditions for fractional diffusion wave equation was analyzed. We used the limiting properties of the Wright function and Riemman Liouville fractional derivative which ...
Poly-Bernoulli Numbers and Polynomials

Addisu, Oljira (Ambo University, 2022-12)

In this paper we consider some generalizations of Poly-Bernoulli numbers and Poly-Bernoulli Poynomials. The generalization is by means of Polylogarithimic functions, Stirling numbers and via weighted Stirling numbers. ...
The Integrals of Products of Bernoulli Polynomials

Belayhun, Mintesnot (Ambo University, 2022-06)

In this thesis, the concept of the integrals of products of Bernoulli polynomials will be introduced. ”The integrals containing the product of more than two Bernoulli polynomials do not appear to lead to simple results.” ...

Now showing items 61-80 of 127

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